216364552096 has 288 divisors, whose sum is σ = 561419812800. Its totient is φ = 81068359680.

The previous prime is 216364552069. The next prime is 216364552127. The reversal of 216364552096 is 690255463612.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153558240 + ... + 153559648.

It is an arithmetic number, because the mean of its divisors is an integer number (1949374350).

Almost surely, 2^216364552096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216364552096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280709906400).

216364552096 is an abundant number, since it is smaller than the sum of its proper divisors (345055260704).

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

216364552096 is a wasteful number, since it uses less digits than its factorization.

216364552096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

The spelling of 216364552096 in words is "two hundred sixteen billion, three hundred sixty-four million, five hundred fifty-two thousand, ninety-six".