56991668594688 has 1056 divisors, whose sum is σ = 179948818183680. Its totient is φ = 18023757742080.

The previous prime is 56991668594683. The next prime is 56991668594771. The reversal of 56991668594688 is 88649586619965.

56991668594688 is a `hidden beast` number, since 5 + 6 + 9 + 9 + 1 + 6 + 6 + 8 + 594 + 6 + 8 + 8 = 666.

Its product of digits (48372940800) is a multiple of the sum of its prime divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 56991668594598 and 56991668594607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56991668594683) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 210301359993 + ... + 210301360263.

Almost surely, 2^{56991668594688} 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 56991668594688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89974409091840).

56991668594688 is an abundant number, since it is smaller than the sum of its proper divisors (122957149588992).

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

56991668594688 is an frugal number, since it uses more digits than its factorization.

56991668594688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 360 counting only the distinct ones).

The product of its digits is 48372940800, while the sum is 90.

The spelling of 56991668594688 in words is "fifty-six trillion, nine hundred ninety-one billion, six hundred sixty-eight million, five hundred ninety-four thousand, six hundred eighty-eight".