56976115806720 has 3200 divisors, whose sum is σ = 235628961638400. Its totient is φ = 13039062220800.

The previous prime is 56976115806713. The next prime is 56976115806749. The reversal of 56976115806720 is 2760851167965.

56976115806720 is a `hidden beast` number, since 5 + 6 + 9 + 7 + 611 + 5 + 8 + 0 + 6 + 7 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 640181076436 + ... + 640181076524.

It is an arithmetic number, because the mean of its divisors is an integer number (73634050512).

Almost surely, 2^{56976115806720} 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 56976115806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117814480819200).

56976115806720 is an abundant number, since it is smaller than the sum of its proper divisors (178652845831680).

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

56976115806720 is a wasteful number, since it uses less digits than its factorization.

56976115806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

It can be divided in two parts, 56976 and 115806720, that added together give a square (115863696 = 10764²).

The spelling of 56976115806720 in words is "fifty-six trillion, nine hundred seventy-six billion, one hundred fifteen million, eight hundred six thousand, seven hundred twenty".