56058910833600 has 672 divisors, whose sum is σ = 205841760284160. Its totient is φ = 14840551710720.

The previous prime is 56058910833599. The next prime is 56058910833619. The reversal of 56058910833600 is 633801985065.

56058910833600 is a `hidden beast` number, since 56 + 0 + 589 + 1 + 0 + 8 + 3 + 3 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6182736267 + ... + 6182745333.

It is an arithmetic number, because the mean of its divisors is an integer number (306312143280).

Almost surely, 2^{56058910833600} is an apocalyptic number.

56058910833600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56058910833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102920880142080).

56058910833600 is an abundant number, since it is smaller than the sum of its proper divisors (149782849450560).

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

56058910833600 is a wasteful number, since it uses less digits than its factorization.

56058910833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 56058910833600 in words is "fifty-six trillion, fifty-eight billion, nine hundred ten million, eight hundred thirty-three thousand, six hundred".