56292315264 has 192 divisors, whose sum is σ = 169847870400. Its totient is φ = 17861437440.

The previous prime is 56292315263. The next prime is 56292315307. The reversal of 56292315264 is 46251329265.

56292315264 is a `hidden beast` number, since 5 + 6 + 2 + 92 + 31 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (56292315263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5585622 + ... + 5595690.

It is an arithmetic number, because the mean of its divisors is an integer number (884624325).

Almost surely, 2^56292315264 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 56292315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84923935200).

56292315264 is an abundant number, since it is smaller than the sum of its proper divisors (113555555136).

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

56292315264 is a wasteful number, since it uses less digits than its factorization.

56292315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323 (or 10308 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 56292315264 in words is "fifty-six billion, two hundred ninety-two million, three hundred fifteen thousand, two hundred sixty-four".