117232516800 has 1512 divisors, whose sum is σ = 530158183776. Its totient is φ = 23967498240.

The previous prime is 117232516789. The next prime is 117232516801. The reversal of 117232516800 is 8615232711.

117232516800 is a `hidden beast` number, since 1 + 172 + 325 + 168 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (117232516801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2726337579 + ... + 2726337621.

Almost surely, 2^117232516800 is an apocalyptic number.

117232516800 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 117232516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265079091888).

117232516800 is an abundant number, since it is smaller than the sum of its proper divisors (412925666976).

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

117232516800 is a wasteful number, since it uses less digits than its factorization.

117232516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 117232516800 in words is "one hundred seventeen billion, two hundred thirty-two million, five hundred sixteen thousand, eight hundred".