216124232168400 has 120 divisors (see below), whose sum is σ = 695341180450080. Its totient is φ = 57381455454720.

The previous prime is 216124232168393. The next prime is 216124232168441. The reversal of 216124232168400 is 4861232421612.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 392964342 + ... + 393513941.

It is an arithmetic number, because the mean of its divisors is an integer number (5794509837084).

Almost surely, 2^{216124232168400} is an apocalyptic number.

216124232168400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216124232168400 is an abundant number, since it is smaller than the sum of its proper divisors (479216948281680).

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

216124232168400 is a wasteful number, since it uses less digits than its factorization.

216124232168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786478533 (or 786478522 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 216124232168400 in words is "two hundred sixteen trillion, one hundred twenty-four billion, two hundred thirty-two million, one hundred sixty-eight thousand, four hundred".