56587358646 has 600 divisors, whose sum is σ = 173549242944. Its totient is φ = 13682571840.

The previous prime is 56587358629. The next prime is 56587358651. The reversal of 56587358646 is 64685378565.

56587358646 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 7 + 3 + 586 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (145152000) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 1825398651 + ... + 1825398681.

Almost surely, 2^56587358646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56587358646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86774621472).

56587358646 is an abundant number, since it is smaller than the sum of its proper divisors (116961884298).

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

56587358646 is a wasteful number, since it uses less digits than its factorization.

56587358646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 75 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 56587358646 in words is "fifty-six billion, five hundred eighty-seven million, three hundred fifty-eight thousand, six hundred forty-six".