Safe to handle coins with, yes.
Don't store coins in, on, or with objects made of nitrile rubber - or most other kinds of rubber, for that matter. They usually add sulfur compounds in the polymerization process and those compounds stay in the rubber and can tone coins kept in contact or sealed up in airtight containers with them over prolonged periods.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis