56579086080 has 432 divisors, whose sum is σ = 214240257504. Its totient is φ = 13672120320.

The previous prime is 56579086051. The next prime is 56579086087. The reversal of 56579086080 is 8068097565.

56579086080 is a `hidden beast` number, since 5 + 6 + 579 + 0 + 8 + 60 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56579086087) by changing a digit.

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, 57910552 + ... + 57911528.

It is an arithmetic number, because the mean of its divisors is an integer number (495926522).

Almost surely, 2^56579086080 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 56579086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107120128752).

56579086080 is an abundant number, since it is smaller than the sum of its proper divisors (157661171424).

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

56579086080 is a wasteful number, since it uses less digits than its factorization.

56579086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 56579086080 in words is "fifty-six billion, five hundred seventy-nine million, eighty-six thousand, eighty".