556923628800 has 1296 divisors, whose sum is σ = 2498873395200. Its totient is φ = 114960384000.

The previous prime is 556923628799. The next prime is 556923628813. The reversal of 556923628800 is 8826329655.

556923628800 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 2 + 3 + 628 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 882604485 + ... + 882605115.

Almost surely, 2^556923628800 is an apocalyptic number.

556923628800 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 556923628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249436697600).

556923628800 is an abundant number, since it is smaller than the sum of its proper divisors (1941949766400).

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

556923628800 is a wasteful number, since it uses less digits than its factorization.

556923628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 556923628800 in words is "five hundred fifty-six billion, nine hundred twenty-three million, six hundred twenty-eight thousand, eight hundred".