56581765920 has 480 divisors, whose sum is σ = 214712467200. Its totient is φ = 13987344384.

The previous prime is 56581765813. The next prime is 56581765937. The reversal of 56581765920 is 2956718565.

56581765920 is a `hidden beast` number, since 5 + 6 + 581 + 7 + 6 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11570836 + ... + 11575724.

It is an arithmetic number, because the mean of its divisors is an integer number (447317640).

Almost surely, 2^56581765920 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 56581765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107356233600).

56581765920 is an abundant number, since it is smaller than the sum of its proper divisors (158130701280).

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

56581765920 is a wasteful number, since it uses less digits than its factorization.

56581765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 56581765920 in words is "fifty-six billion, five hundred eighty-one million, seven hundred sixty-five thousand, nine hundred twenty".