56580620760 has 192 divisors, whose sum is σ = 187694638560. Its totient is φ = 14777856000.

The previous prime is 56580620741. The next prime is 56580620783. The reversal of 56580620760 is 6702608565.

56580620760 is a `hidden beast` number, since 5 + 6 + 580 + 6 + 2 + 0 + 7 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287015 + ... + 5297705.

Almost surely, 2^56580620760 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 56580620760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93847319280).

56580620760 is an abundant number, since it is smaller than the sum of its proper divisors (131114017800).

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

56580620760 is a wasteful number, since it uses less digits than its factorization.

56580620760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56580620760 in words is "fifty-six billion, five hundred eighty million, six hundred twenty thousand, seven hundred sixty".