556506657000 has 192 divisors, whose sum is σ = 2149705958400. Its totient is φ = 127201507200.

The previous prime is 556506656989. The next prime is 556506657017. The reversal of 556506657000 is 756605655.

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 47 ways as a sum of consecutive naturals, for example, 4353720 + ... + 4479719.

It is an arithmetic number, because the mean of its divisors is an integer number (11196385200).

Almost surely, 2^556506657000 is an apocalyptic number.

556506657000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

556506657000 is an abundant number, since it is smaller than the sum of its proper divisors (1593199301400).

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

556506657000 is a wasteful number, since it uses less digits than its factorization.

556506657000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833473 (or 8833456 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 556506657000 in words is "five hundred fifty-six billion, five hundred six million, six hundred fifty-seven thousand".