56753786880 has 312 divisors, whose sum is σ = 224830761792. Its totient is φ = 12971999232.

The previous prime is 56753786807. The next prime is 56753786897. The reversal of 56753786880 is 8868735765.

56753786880 is a `hidden beast` number, since 567 + 5 + 3 + 7 + 8 + 68 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1268247 + ... + 1312233.

It is an arithmetic number, because the mean of its divisors is an integer number (720611416).

Almost surely, 2^56753786880 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 56753786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112415380896).

56753786880 is an abundant number, since it is smaller than the sum of its proper divisors (168076974912).

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

56753786880 is a wasteful number, since it uses less digits than its factorization.

56753786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44029 (or 44004 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 56753786880 in words is "fifty-six billion, seven hundred fifty-three million, seven hundred eighty-six thousand, eight hundred eighty".