56938152960 has 880 divisors, whose sum is σ = 224701646400. Its totient is φ = 13701021696.

The previous prime is 56938152893. The next prime is 56938152979. The reversal of 56938152960 is 6925183965.

It is a happy number.

56938152960 is a `hidden beast` number, since 56 + 9 + 3 + 8 + 1 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56938152897 and 56938152906.

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, 318090151 + ... + 318090329.

It is an arithmetic number, because the mean of its divisors is an integer number (255342780).

Almost surely, 2^56938152960 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 56938152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112350823200).

56938152960 is an abundant number, since it is smaller than the sum of its proper divisors (167763493440).

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

56938152960 is a wasteful number, since it uses less digits than its factorization.

56938152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 56938152960 in words is "fifty-six billion, nine hundred thirty-eight million, one hundred fifty-two thousand, nine hundred sixty".