56587991040 has 576 divisors, whose sum is σ = 234049888800. Its totient is φ = 12931301376.

The previous prime is 56587991017. The next prime is 56587991059. The reversal of 56587991040 is 4019978565.

56587991040 is a `hidden beast` number, since 5 + 6 + 587 + 9 + 9 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13545432 + ... + 13549608.

Almost surely, 2^56587991040 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 56587991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117024944400).

56587991040 is an abundant number, since it is smaller than the sum of its proper divisors (177461897760).

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

56587991040 is a wasteful number, since it uses less digits than its factorization.

56587991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 56587991040 in words is "fifty-six billion, five hundred eighty-seven million, nine hundred ninety-one thousand, forty".