216564313520 has 40 divisors (see below), whose sum is σ = 506293897200. Its totient is φ = 86147124480.

The previous prime is 216564313513. The next prime is 216564313541. The reversal of 216564313520 is 25313465612.

216564313520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7463570 + ... + 7492529.

It is an arithmetic number, because the mean of its divisors is an integer number (12657347430).

Almost surely, 2^216564313520 is an apocalyptic number.

216564313520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216564313520 is an abundant number, since it is smaller than the sum of its proper divisors (289729583680).

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

216564313520 is a wasteful number, since it uses less digits than its factorization.

216564313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14956293 (or 14956287 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 216564313520 in words is "two hundred sixteen billion, five hundred sixty-four million, three hundred thirteen thousand, five hundred twenty".