56658756960 has 768 divisors, whose sum is σ = 232678656000. Its totient is φ = 12750151680.

The previous prime is 56658756943. The next prime is 56658756997. The reversal of 56658756960 is 6965785665.

56658756960 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 8 + 7 + 569 + 60 = 666.

It is a Cunningham number, because it is equal to 238031²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30943245 + ... + 30945075.

It is an arithmetic number, because the mean of its divisors is an integer number (302967000).

Almost surely, 2^56658756960 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 56658756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116339328000).

56658756960 is an abundant number, since it is smaller than the sum of its proper divisors (176019899040).

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

56658756960 is a wasteful number, since it uses less digits than its factorization.

56658756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 56658756960 in words is "fifty-six billion, six hundred fifty-eight million, seven hundred fifty-six thousand, nine hundred sixty".