56281987584 has 240 divisors, whose sum is σ = 173024352072. Its totient is φ = 17550802944.

The previous prime is 56281987493. The next prime is 56281987603. The reversal of 56281987584 is 48578918265.

56281987584 is a `hidden beast` number, since 562 + 8 + 19 + 8 + 7 + 58 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49925433600 + 6356553984 = 223440^2 + 79728^2 .

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, 13550052 + ... + 13554204.

Almost surely, 2^56281987584 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 56281987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86512176036).

56281987584 is an abundant number, since it is smaller than the sum of its proper divisors (116742364488).

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

56281987584 is a wasteful number, since it uses less digits than its factorization.

56281987584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4348 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 56281987584 in words is "fifty-six billion, two hundred eighty-one million, nine hundred eighty-seven thousand, five hundred eighty-four".