56791064985600 has 720 divisors, whose sum is σ = 205112972929536. Its totient is φ = 13750173696000.

The previous prime is 56791064985563. The next prime is 56791064985659. The reversal of 56791064985600 is 658946019765.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13124810637 + ... + 13124814963.

Almost surely, 2^{56791064985600} is an apocalyptic number.

56791064985600 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 56791064985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102556486464768).

56791064985600 is an abundant number, since it is smaller than the sum of its proper divisors (148321907943936).

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

56791064985600 is a wasteful number, since it uses less digits than its factorization.

56791064985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 56791064985600 in words is "fifty-six trillion, seven hundred ninety-one billion, sixty-four million, nine hundred eighty-five thousand, six hundred".