56760238080 has 1280 divisors, whose sum is σ = 255781532160. Its totient is φ = 11720982528.

The previous prime is 56760238079. The next prime is 56760238147. The reversal of 56760238080 is 8083206765.

56760238080 is a `hidden beast` number, since 5 + 6 + 7 + 602 + 38 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 79 ways as a sum of consecutive naturals, for example, 1207664617 + ... + 1207664663.

It is an arithmetic number, because the mean of its divisors is an integer number (199829322).

Almost surely, 2^56760238080 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 56760238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127890766080).

56760238080 is an abundant number, since it is smaller than the sum of its proper divisors (199021294080).

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

56760238080 is an equidigital number, since it uses as much as digits as its factorization.

56760238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56760238080 in words is "fifty-six billion, seven hundred sixty million, two hundred thirty-eight thousand, eighty".