56905035264 has 960 divisors, whose sum is σ = 225516994560. Its totient is φ = 13357301760.

The previous prime is 56905035233. The next prime is 56905035293. The reversal of 56905035264 is 46253050965.

56905035264 is a `hidden beast` number, since 5 + 6 + 90 + 503 + 52 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155054409 + ... + 155054775.

It is an arithmetic number, because the mean of its divisors is an integer number (234913536).

Almost surely, 2^56905035264 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 56905035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112758497280).

56905035264 is an abundant number, since it is smaller than the sum of its proper divisors (168611959296).

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

56905035264 is a wasteful number, since it uses less digits than its factorization.

56905035264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 56905035264 in words is "fifty-six billion, nine hundred five million, thirty-five thousand, two hundred sixty-four".