56658132817920 has 1152 divisors, whose sum is σ = 208247143104000. Its totient is φ = 14217735831552.

The previous prime is 56658132817879. The next prime is 56658132817931. The reversal of 56658132817920 is 2971823185665.

56658132817920 is a `hidden beast` number, since 5 + 6 + 6 + 581 + 3 + 28 + 1 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54011565556 + ... + 54011566604.

It is an arithmetic number, because the mean of its divisors is an integer number (180770089500).

Almost surely, 2^{56658132817920} 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 56658132817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104123571552000).

56658132817920 is an abundant number, since it is smaller than the sum of its proper divisors (151589010286080).

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

56658132817920 is a wasteful number, since it uses less digits than its factorization.

56658132817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1472 counting only the distinct ones).

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

The spelling of 56658132817920 in words is "fifty-six trillion, six hundred fifty-eight billion, one hundred thirty-two million, eight hundred seventeen thousand, nine hundred twenty".