56755986402816 has 240 divisors, whose sum is σ = 166119602769120. Its totient is φ = 18651172700160.

The previous prime is 56755986402809. The next prime is 56755986402821. The reversal of 56755986402816 is 61820468955765.

56755986402816 is a `hidden beast` number, since 5 + 6 + 7 + 5 + 598 + 6 + 4 + 0 + 28 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777346920 + ... + 777419928.

It is an arithmetic number, because the mean of its divisors is an integer number (692165011538).

Almost surely, 2^{56755986402816} 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 56755986402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83059801384560).

56755986402816 is an abundant number, since it is smaller than the sum of its proper divisors (109363616366304).

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

56755986402816 is a wasteful number, since it uses less digits than its factorization.

56755986402816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75417 (or 75398 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 56755986402816 in words is "fifty-six trillion, seven hundred fifty-five billion, nine hundred eighty-six million, four hundred two thousand, eight hundred sixteen".