56975892480 has 560 divisors, whose sum is σ = 220135225464. Its totient is φ = 14014218240.

The previous prime is 56975892469. The next prime is 56975892481. The reversal of 56975892480 is 8429857965.

56975892480 is a `hidden beast` number, since 5 + 6 + 9 + 7 + 589 + 2 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48160935936 + 8814956544 = 219456^2 + 93888^2 .

It is not an unprimeable number, because it can be changed into a prime (56975892481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43130220 + ... + 43131540.

Almost surely, 2^56975892480 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 56975892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110067612732).

56975892480 is an abundant number, since it is smaller than the sum of its proper divisors (163159332984).

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

56975892480 is a wasteful number, since it uses less digits than its factorization.

56975892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 56975892480 in words is "fifty-six billion, nine hundred seventy-five million, eight hundred ninety-two thousand, four hundred eighty".