557087794560 has 1536 divisors, whose sum is σ = 2350716480000. Its totient is φ = 124157214720.

The previous prime is 557087794507. The next prime is 557087794619. The reversal of 557087794560 is 65497780755.

557087794560 is a `hidden beast` number, since 5 + 570 + 8 + 7 + 7 + 9 + 4 + 56 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1469888451 + ... + 1469888829.

It is an arithmetic number, because the mean of its divisors is an integer number (1530414375).

Almost surely, 2^557087794560 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 557087794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175358240000).

557087794560 is an abundant number, since it is smaller than the sum of its proper divisors (1793628685440).

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

557087794560 is a wasteful number, since it uses less digits than its factorization.

557087794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 557087794560 in words is "five hundred fifty-seven billion, eighty-seven million, seven hundred ninety-four thousand, five hundred sixty".