216887859360 has 576 divisors, whose sum is σ = 794549347200. Its totient is φ = 55247892480.

The previous prime is 216887859347. The next prime is 216887859457. The reversal of 216887859360 is 63958788612.

216887859360 is a `hidden beast` number, since 216 + 8 + 8 + 7 + 8 + 59 + 360 = 666.

216887859360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369484987 + ... + 369485573.

It is an arithmetic number, because the mean of its divisors is an integer number (1379425950).

Almost surely, 2^216887859360 is an apocalyptic number.

216887859360 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 216887859360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397274673600).

216887859360 is an abundant number, since it is smaller than the sum of its proper divisors (577661487840).

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

216887859360 is a wasteful number, since it uses less digits than its factorization.

216887859360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 216887859360 in words is "two hundred sixteen billion, eight hundred eighty-seven million, eight hundred fifty-nine thousand, three hundred sixty".