56600878576320 has 2016 divisors, whose sum is σ = 231108831233280. Its totient is φ = 13142928015360.

The previous prime is 56600878576303. The next prime is 56600878576321. The reversal of 56600878576320 is 2367587800665.

It is a happy number.

56600878576320 is a `hidden beast` number, since 56 + 6 + 0 + 0 + 8 + 7 + 8 + 576 + 3 + 2 + 0 = 666.

56600878576320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56600878576320² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56600878576321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 99125881635 + ... + 99125882205.

It is an arithmetic number, because the mean of its divisors is an integer number (114637317080).

Almost surely, 2^{56600878576320} 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 56600878576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115554415616640).

56600878576320 is an abundant number, since it is smaller than the sum of its proper divisors (174507952656960).

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

56600878576320 is a wasteful number, since it uses less digits than its factorization.

56600878576320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 56600878576320 in words is "fifty-six trillion, six hundred billion, eight hundred seventy-eight million, five hundred seventy-six thousand, three hundred twenty".