56233907674560 has 4032 divisors, whose sum is σ = 268111098178560. Its totient is φ = 10885703270400.

The previous prime is 56233907674519. The next prime is 56233907674613. The reversal of 56233907674560 is 6547670933265.

56233907674560 is a `hidden beast` number, since 5 + 6 + 2 + 3 + 3 + 9 + 0 + 7 + 67 + 4 + 560 = 666.

56233907674560 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 (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 166866194712 + ... + 166866195048.

It is an arithmetic number, because the mean of its divisors is an integer number (66495808080).

Almost surely, 2^{56233907674560} 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 56233907674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134055549089280).

56233907674560 is an abundant number, since it is smaller than the sum of its proper divisors (211877190504000).

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

56233907674560 is a wasteful number, since it uses less digits than its factorization.

56233907674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 56233907674560 in words is "fifty-six trillion, two hundred thirty-three billion, nine hundred seven million, six hundred seventy-four thousand, five hundred sixty".