117131857920 has 1560 divisors, whose sum is σ = 536912579808. Its totient is φ = 24153292800.

The previous prime is 117131857901. The next prime is 117131857937. The reversal of 117131857920 is 29758131711.

117131857920 is a `hidden beast` number, since 1 + 1 + 71 + 3 + 1 + 8 + 579 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 894136255 + ... + 894136385.

Almost surely, 2^117131857920 is an apocalyptic number.

117131857920 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 117131857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268456289904).

117131857920 is an abundant number, since it is smaller than the sum of its proper divisors (419780721888).

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

117131857920 is a wasteful number, since it uses less digits than its factorization.

117131857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 117131857920 in words is "one hundred seventeen billion, one hundred thirty-one million, eight hundred fifty-seven thousand, nine hundred twenty".