216882416300 has 72 divisors (see below), whose sum is σ = 513507133440. Its totient is φ = 78852923200.

The previous prime is 216882416297. The next prime is 216882416321. The reversal of 216882416300 is 3614288612.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8354741 + ... + 8380659.

It is an arithmetic number, because the mean of its divisors is an integer number (7132043520).

Almost surely, 2^216882416300 is an apocalyptic number.

216882416300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216882416300 is an abundant number, since it is smaller than the sum of its proper divisors (296624717140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216882416300 is a wasteful number, since it uses less digits than its factorization.

216882416300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33551 (or 33544 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 216882416300 in words is "two hundred sixteen billion, eight hundred eighty-two million, four hundred sixteen thousand, three hundred".