Here’s a blast from not long ago; millions of active social security numbers for individuals who (based on their reported birth dates) are at least 112:
https://www.washingtontimes.com/news/2015/mar/10/65m-people-with-active-social-security-numbers-are/
As far as I can tell, Social Security has done almost nothing to fix this problem.
Consider a FOIA in your state for the number of people in your state who are older than the oldest person in your state and are on Food Stamps, Medicaid, or other government program.
A state has a Department of the Aging that recognizes and celebrates the oldest person in the state. So there is a benchmark for other state agencies.