117811584000 has 880 divisors, whose sum is σ = 479434846176. Its totient is φ = 28532736000.

The previous prime is 117811583993. The next prime is 117811584013. The reversal of 117811584000 is 485118711.

117811584000 is a `hidden beast` number, since 1 + 1 + 78 + 1 + 1 + 584 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114047484 + ... + 114048516.

Almost surely, 2^117811584000 is an apocalyptic number.

117811584000 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 117811584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239717423088).

117811584000 is an abundant number, since it is smaller than the sum of its proper divisors (361623262176).

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

117811584000 is a wasteful number, since it uses less digits than its factorization.

117811584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 117811584000 in words is "one hundred seventeen billion, eight hundred eleven million, five hundred eighty-four thousand".