56704808160 has 2304 divisors, whose sum is σ = 284042723328. Its totient is φ = 10301644800.

The previous prime is 56704808123. The next prime is 56704808183. The reversal of 56704808160 is 6180840765.

It is a happy number.

56704808160 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 480 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1206485257 + ... + 1206485303.

It is an arithmetic number, because the mean of its divisors is an integer number (123282432).

Almost surely, 2^56704808160 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 56704808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142021361664).

56704808160 is an abundant number, since it is smaller than the sum of its proper divisors (227337915168).

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

56704808160 is a wasteful number, since it uses less digits than its factorization.

56704808160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 56704808160 in words is "fifty-six billion, seven hundred four million, eight hundred eight thousand, one hundred sixty".