116188800 has 576 divisors, whose sum is σ = 504655200. Its totient is φ = 23224320.

The previous prime is 116188789. The next prime is 116188823. The reversal of 116188800 is 8881611.

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, 6115191 + ... + 6115209.

Almost surely, 2^116188800 is an apocalyptic number.

116188800 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 116188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252327600).

116188800 is an abundant number, since it is smaller than the sum of its proper divisors (388466400).

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

116188800 is a wasteful number, since it uses less digits than its factorization.

116188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 116188800 is about 10779.0908707553. The cubic root of 116188800 is about 487.9643438967.

The spelling of 116188800 in words is "one hundred sixteen million, one hundred eighty-eight thousand, eight hundred".