117981964800 has 720 divisors, whose sum is σ = 503825699520. Its totient is φ = 26963435520.

The previous prime is 117981964799. The next prime is 117981964871. The reversal of 117981964800 is 8469189711.

117981964800 is a `hidden beast` number, since 1 + 1 + 79 + 8 + 1 + 96 + 480 + 0 = 666.

117981964800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16930917 + ... + 16937883.

It is an arithmetic number, because the mean of its divisors is an integer number (699757916).

Almost surely, 2^117981964800 is an apocalyptic number.

117981964800 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 117981964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251912849760).

117981964800 is an abundant number, since it is smaller than the sum of its proper divisors (385843734720).

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

117981964800 is an equidigital number, since it uses as much as digits as its factorization.

117981964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 117981964800 in words is "one hundred seventeen billion, nine hundred eighty-one million, nine hundred sixty-four thousand, eight hundred".