56886717841632 has 384 divisors, whose sum is σ = 200806571750400. Its totient is φ = 15294989058048.

The previous prime is 56886717841619. The next prime is 56886717841663. The reversal of 56886717841632 is 23614871768865.

56886717841632 is a `hidden beast` number, since 5 + 6 + 8 + 8 + 6 + 7 + 178 + 416 + 32 = 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 63 ways as a sum of consecutive naturals, for example, 757613563 + ... + 757688645.

It is an arithmetic number, because the mean of its divisors is an integer number (522933780600).

Almost surely, 2^{56886717841632} 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 56886717841632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100403285875200).

56886717841632 is an abundant number, since it is smaller than the sum of its proper divisors (143919853908768).

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

56886717841632 is a wasteful number, since it uses less digits than its factorization.

56886717841632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82495 (or 82481 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 56886717841632 in words is "fifty-six trillion, eight hundred eighty-six billion, seven hundred seventeen million, eight hundred forty-one thousand, six hundred thirty-two".