After nearly 17 years of living in my mobile home, I received a 60 notice to leave. I asked management what I did wrong and they said I did nothing. They have been tearing down units in the park to the foundation and then rebuilding non mobile units in place. I heard rumors that the reason they want me out is because new people coming in are paying twice what my rent is. I just don't understand

It's hard to understand such lack of concern, but it's easy to understand that money talks.
Supposedly the recession created a good market for rentals because so many people lost their homes.
Landlords in general do have the right to terminate at the end of the lease or if no lease and month to month, within 30 or 60 days. But there may be some places with more tenant protection, so what town and state are you in?
Are you eligible for any state or federal benefits, or can you tell us if you think you might be?
Do you own the home and rent the space, or rent all of it?
Have you looked for another mobile park around the area?
Have you suggested a slight increase in exchange for 6 months notice instead of 2, or any other wangling you can think of? How big is the place and how involved is the owner, personally? Are you talking directly with the owner or just a manager?

I live in Westminster, California. The economy has devastated my family. My husband is on unemployment and receives only $166 per week. I am self-employed. I am not sure if we qualify for any type of benefits. We are renting our mobile home and have been for nearly 17 years. We are not behind on our rent and have not had a late payment in probably 6 years (which we paid late fees for). The manager will not give me the number for the owner and she is now ignoring my calls and visits to the office.

When is your lease up, you do have one, right?

You can go to the property tax office ( or check online perhaps) and find the owner of the property, although it may just be a corporation and not a actual person.

But yes, unless this is government rent controlled, or unless you have a lease, they have the right to ask you to leave.

Does not matter if you where there 17 years or 17 months

And if they gave you official notice, they don't have to, ( and most likely don't have any reason to talk to you)

To answer your question, yes the landlord can do this. I assume you have not renewed your lease each year so you are on a month to month basis. That means you lost the protection of a lease.

The manager represents the owners. The manager is probably acting on the owners instructions. So they have no obligation to give you the owners info and even if you got it, its unlikely you will hear anything different.

It looks like rents there average about $1400 - 1800 for a 2 bedroom (you don't mention kids, so a one bedroom might be $1200).
There's a mobile park in Westminster at Los Alisos with rents starting at 950 (hopefully that isn't yours).
These are pretty standard rates in a lot of the higher rent states like CA.
Go talk to the town social worker. Many towns have a hardship fund, small amounts for something like moving. But move you must.
As for vacating, some people just say 'So evict me, it'll take 2 months and meanwhile I won't pay, I need the money to pay 1st/last/security elsewhere.' What that does is ruin your references of course. So start looking, and keep letting management know your situation even though they aren't being very nice about it.