I'm 55 but so far they haven't noticed! I guess HR can be as disfunctional with mandatory executions as they are when they present us with coding puzzles during the hiring process.
My first mentor was about the same age I am now, and still one of the best I ever had.
Staying sharp and engaged is tricky. It's easy for a person to become apathetic upon realizing how much churn and mis-spent energy there is in the industry, and when you're old and apathetic they assume that means it's time for the glue factory.