216988687698560 has 256 divisors, whose sum is σ = 523629036000000. Its totient is φ = 85980687237120.

The previous prime is 216988687698553. The next prime is 216988687698647. The reversal of 216988687698560 is 65896786889612.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107900887955 + ... + 107900889965.

It is an arithmetic number, because the mean of its divisors is an integer number (2045425921875).

Almost surely, 2^{216988687698560} is an apocalyptic number.

216988687698560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216988687698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261814518000000).

216988687698560 is an abundant number, since it is smaller than the sum of its proper divisors (306640348301440).

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

216988687698560 is a wasteful number, since it uses less digits than its factorization.

216988687698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 30098718720, while the sum is 89.

The spelling of 216988687698560 in words is "two hundred sixteen trillion, nine hundred eighty-eight billion, six hundred eighty-seven million, six hundred ninety-eight thousand, five hundred sixty".