557930056320 has 1536 divisors, whose sum is σ = 2499750720000. Its totient is φ = 117505769472.

The previous prime is 557930056301. The next prime is 557930056337. The reversal of 557930056320 is 23650039755.

It is a happy number.

557930056320 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 3 + 0 + 0 + 5 + 632 + 0 = 666.

It is a super-2 number, since 2×557930056320² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1001669482 + ... + 1001670038.

It is an arithmetic number, because the mean of its divisors is an integer number (1627441875).

Almost surely, 2^557930056320 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 557930056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249875360000).

557930056320 is an abundant number, since it is smaller than the sum of its proper divisors (1941820663680).

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

557930056320 is a wasteful number, since it uses less digits than its factorization.

557930056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 557930056320 in words is "five hundred fifty-seven billion, nine hundred thirty million, fifty-six thousand, three hundred twenty".