56707868160 has 480 divisors, whose sum is σ = 207917629920. Its totient is φ = 14244249600.

The previous prime is 56707868153. The next prime is 56707868183. The reversal of 56707868160 is 6186870765.

56707868160 is a `hidden beast` number, since 567 + 0 + 7 + 8 + 68 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×56707868160² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56707868097 and 56707868106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123010330 + ... + 123010790.

It is an arithmetic number, because the mean of its divisors is an integer number (433161729).

Almost surely, 2^56707868160 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 56707868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103958814960).

56707868160 is an abundant number, since it is smaller than the sum of its proper divisors (151209761760).

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

56707868160 is a wasteful number, since it uses less digits than its factorization.

56707868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 56707868160 in words is "fifty-six billion, seven hundred seven million, eight hundred sixty-eight thousand, one hundred sixty".