556822828800 has 972 divisors, whose sum is σ = 2395997505720. Its totient is φ = 122866974720.

The previous prime is 556822828781. The next prime is 556822828817. The reversal of 556822828800 is 8828228655.

556822828800 is a `hidden beast` number, since 556 + 8 + 2 + 2 + 8 + 2 + 8 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 81846199 + ... + 81853001.

It is an arithmetic number, because the mean of its divisors is an integer number (2465018010).

Almost surely, 2^556822828800 is an apocalyptic number.

556822828800 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 556822828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197998752860).

556822828800 is an abundant number, since it is smaller than the sum of its proper divisors (1839174676920).

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

556822828800 is a wasteful number, since it uses less digits than its factorization.

556822828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 556822828800 in words is "five hundred fifty-six billion, eight hundred twenty-two million, eight hundred twenty-eight thousand, eight hundred".