55215177137100 has 216 divisors, whose sum is σ = 183438200797488. Its totient is φ = 13843651276800.

The previous prime is 55215177137089. The next prime is 55215177137101. The reversal of 55215177137100 is 173177151255.

It is a happy number.

55215177137100 is a `hidden beast` number, since 5 + 5 + 21 + 517 + 7 + 1 + 3 + 7 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55215177137101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12997992 + ... + 16714608.

It is an arithmetic number, because the mean of its divisors is an integer number (849250929618).

Almost surely, 2^{55215177137100} is an apocalyptic number.

55215177137100 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 55215177137100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91719100398744).

55215177137100 is an abundant number, since it is smaller than the sum of its proper divisors (128223023660388).

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

55215177137100 is a wasteful number, since it uses less digits than its factorization.

55215177137100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717625 (or 3717615 counting only the distinct ones).

The product of its (nonzero) digits is 257250, while the sum is 45.

The spelling of 55215177137100 in words is "fifty-five trillion, two hundred fifteen billion, one hundred seventy-seven million, one hundred thirty-seven thousand, one hundred".