557060670100 has 72 divisors (see below), whose sum is σ = 1318954081536. Its totient is φ = 202530720000.

The previous prime is 557060670083. The next prime is 557060670143. The reversal of 557060670100 is 1076060755.

It is a super-2 number, since 2×557060670100² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557060670100.

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 23 ways as a sum of consecutive naturals, for example, 6426045 + ... + 6512155.

It is an arithmetic number, because the mean of its divisors is an integer number (18318806688).

Almost surely, 2^557060670100 is an apocalyptic number.

557060670100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

557060670100 is an abundant number, since it is smaller than the sum of its proper divisors (761893411436).

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

557060670100 is a wasteful number, since it uses less digits than its factorization.

557060670100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92017 (or 92010 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 557060670100 in words is "five hundred fifty-seven billion, sixty million, six hundred seventy thousand, one hundred".