116020684800 has 1152 divisors, whose sum is σ = 460658016000. Its totient is φ = 28547481600.

The previous prime is 116020684799. The next prime is 116020684837. The reversal of 116020684800 is 8486020611.

116020684800 is a `hidden beast` number, since 1 + 1 + 602 + 0 + 6 + 8 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1303603156 + ... + 1303603244.

It is an arithmetic number, because the mean of its divisors is an integer number (399876750).

Almost surely, 2^116020684800 is an apocalyptic number.

116020684800 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 116020684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008000).

116020684800 is an abundant number, since it is smaller than the sum of its proper divisors (344637331200).

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

116020684800 is a wasteful number, since it uses less digits than its factorization.

116020684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 116020684800 in words is "one hundred sixteen billion, twenty million, six hundred eighty-four thousand, eight hundred".