557630832000 has 512 divisors, whose sum is σ = 2065861324800. Its totient is φ = 131880960000.

The previous prime is 557630831981. The next prime is 557630832089. The reversal of 557630832000 is 238036755.

It is a self number, because there is not a number n which added to its sum of digits gives 557630832000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21635121 + ... + 21660879.

It is an arithmetic number, because the mean of its divisors is an integer number (4034885400).

Almost surely, 2^557630832000 is an apocalyptic number.

557630832000 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 557630832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032930662400).

557630832000 is an abundant number, since it is smaller than the sum of its proper divisors (1508230492800).

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

557630832000 is a wasteful number, since it uses less digits than its factorization.

557630832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25843 (or 25821 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

Adding to 557630832000 its reverse (238036755), we get a palindrome (557868868755).

The spelling of 557630832000 in words is "five hundred fifty-seven billion, six hundred thirty million, eight hundred thirty-two thousand".