117584732160 has 1120 divisors, whose sum is σ = 495554032512. Its totient is φ = 26117406720.

The previous prime is 117584732159. The next prime is 117584732171. The reversal of 117584732160 is 61237485711.

117584732160 is a `hidden beast` number, since 1 + 1 + 7 + 584 + 7 + 3 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1416683479 + ... + 1416683561.

Almost surely, 2^117584732160 is an apocalyptic number.

117584732160 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 117584732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247777016256).

117584732160 is an abundant number, since it is smaller than the sum of its proper divisors (377969300352).

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

117584732160 is an frugal number, since it uses more digits than its factorization.

117584732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 117584732160 in words is "one hundred seventeen billion, five hundred eighty-four million, seven hundred thirty-two thousand, one hundred sixty".