557314956800 has 240 divisors, whose sum is σ = 1620706818720. Its totient is φ = 185913999360.

The previous prime is 557314956791. The next prime is 557314956839. The reversal of 557314956800 is 8659413755.

It is a happy number.

It is a super-2 number, since 2×557314956800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3231146 + ... + 3399254.

It is an arithmetic number, because the mean of its divisors is an integer number (6752945078).

Almost surely, 2^557314956800 is an apocalyptic number.

557314956800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557314956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810353409360).

557314956800 is an abundant number, since it is smaller than the sum of its proper divisors (1063391861920).

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

557314956800 is a wasteful number, since it uses less digits than its factorization.

557314956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168181 (or 168160 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 53.

The spelling of 557314956800 in words is "five hundred fifty-seven billion, three hundred fourteen million, nine hundred fifty-six thousand, eight hundred".