117185612885900 has 288 divisors, whose sum is σ = 299011902013440. Its totient is φ = 39489466705920.

The previous prime is 117185612885897. The next prime is 117185612886073. The reversal of 117185612885900 is 9588216581711.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76777589 + ... + 78289011.

It is an arithmetic number, because the mean of its divisors is an integer number (1038235770880).

Almost surely, 2^{117185612885900} is an apocalyptic number.

117185612885900 is a gapful number since it is divisible by the number (10) 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 117185612885900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149505951006720).

117185612885900 is an abundant number, since it is smaller than the sum of its proper divisors (181826289127540).

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

117185612885900 is a wasteful number, since it uses less digits than its factorization.

117185612885900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511585 (or 1511578 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 62.

The spelling of 117185612885900 in words is "one hundred seventeen trillion, one hundred eighty-five billion, six hundred twelve million, eight hundred eighty-five thousand, nine hundred".