56587652352 has 1080 divisors, whose sum is σ = 220258840032. Its totient is φ = 14282956800.

The previous prime is 56587652311. The next prime is 56587652377. The reversal of 56587652352 is 25325678565.

It is a happy number.

56587652352 is a `hidden beast` number, since 5 + 6 + 587 + 6 + 5 + 2 + 3 + 52 = 666.

It is a super-2 number, since 2×56587652352² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 681778903 + ... + 681778985.

Almost surely, 2^56587652352 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 56587652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110129420016).

56587652352 is an abundant number, since it is smaller than the sum of its proper divisors (163671187680).

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

56587652352 is a wasteful number, since it uses less digits than its factorization.

56587652352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 56587652352 in words is "fifty-six billion, five hundred eighty-seven million, six hundred fifty-two thousand, three hundred fifty-two".