55677712674100 has 144 divisors (see below), whose sum is σ = 134021010981312. Its totient is φ = 19906214400000.

The previous prime is 55677712674013. The next prime is 55677712674127. The reversal of 55677712674100 is 147621777655.

It is a congruent number.

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, 161606020 + ... + 161950180.

It is an arithmetic number, because the mean of its divisors is an integer number (930701465148).

Almost surely, 2^{55677712674100} is an apocalyptic number.

55677712674100 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 55677712674100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67010505490656).

55677712674100 is an abundant number, since it is smaller than the sum of its proper divisors (78343298307212).

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

55677712674100 is a wasteful number, since it uses less digits than its factorization.

55677712674100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346658 (or 346651 counting only the distinct ones).

The product of its (nonzero) digits is 17287200, while the sum is 58.

The spelling of 55677712674100 in words is "fifty-five trillion, six hundred seventy-seven billion, seven hundred twelve million, six hundred seventy-four thousand, one hundred".