117111582720 has 936 divisors, whose sum is σ = 458856543600. Its totient is φ = 27595898880.

The previous prime is 117111582719. The next prime is 117111582751. The reversal of 117111582720 is 27285111711.

117111582720 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 1 + 1 + 582 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1315860436 + ... + 1315860524.

It is an arithmetic number, because the mean of its divisors is an integer number (490231350).

Almost surely, 2^117111582720 is an apocalyptic number.

117111582720 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 117111582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229428271800).

117111582720 is an abundant number, since it is smaller than the sum of its proper divisors (341744960880).

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

117111582720 is a wasteful number, since it uses less digits than its factorization.

117111582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 36.

The spelling of 117111582720 in words is "one hundred seventeen billion, one hundred eleven million, five hundred eighty-two thousand, seven hundred twenty".