51656651600100 has 72 divisors (see below), whose sum is σ = 151910074507968. Its totient is φ = 13549285660800.

The previous prime is 51656651600027. The next prime is 51656651600221. The reversal of 51656651600100 is 100615665615.

It is a super-2 number, since 2×51656651600100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1411365624 + ... + 1411402223.

It is an arithmetic number, because the mean of its divisors is an integer number (2109862145944).

Almost surely, 2^{51656651600100} is an apocalyptic number.

51656651600100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51656651600100 is an abundant number, since it is smaller than the sum of its proper divisors (100253422907868).

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

51656651600100 is a wasteful number, since it uses less digits than its factorization.

51656651600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822767925 (or 2822767918 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 51656651600100 in words is "fifty-one trillion, six hundred fifty-six billion, six hundred fifty-one million, six hundred thousand, one hundred".