55177956900 has 432 divisors, whose sum is σ = 194253067008. Its totient is φ = 12985056000.

The previous prime is 55177956881. The next prime is 55177956917. The reversal of 55177956900 is 965977155.

55177956900 is a `hidden beast` number, since 5 + 5 + 1 + 7 + 79 + 569 + 0 + 0 = 666.

55177956900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55177956900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96633615 + ... + 96634185.

Almost surely, 2^55177956900 is an apocalyptic number.

55177956900 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 55177956900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97126533504).

55177956900 is an abundant number, since it is smaller than the sum of its proper divisors (139075110108).

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

55177956900 is a wasteful number, since it uses less digits than its factorization.

55177956900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 54.

The spelling of 55177956900 in words is "fifty-five billion, one hundred seventy-seven million, nine hundred fifty-six thousand, nine hundred".