56582381520 has 1200 divisors, whose sum is σ = 245689899840. Its totient is φ = 11997683712.

The previous prime is 56582381431. The next prime is 56582381533. The reversal of 56582381520 is 2518328565.

56582381520 is a `hidden beast` number, since 5 + 6 + 582 + 38 + 15 + 20 = 666.

56582381520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 500728984 + ... + 500729096.

Almost surely, 2^56582381520 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 56582381520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122844949920).

56582381520 is an abundant number, since it is smaller than the sum of its proper divisors (189107518320).

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

56582381520 is a wasteful number, since it uses less digits than its factorization.

56582381520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 56582381520 in words is "fifty-six billion, five hundred eighty-two million, three hundred eighty-one thousand, five hundred twenty".