116876390400 has 1872 divisors, whose sum is σ = 550126956288. Its totient is φ = 23887872000.

The previous prime is 116876390383. The next prime is 116876390419. The reversal of 116876390400 is 4093678611.

It is a happy number.

116876390400 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 7 + 639 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1916006370 + ... + 1916006430.

Almost surely, 2^116876390400 is an apocalyptic number.

116876390400 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 116876390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275063478144).

116876390400 is an abundant number, since it is smaller than the sum of its proper divisors (433250565888).

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

116876390400 is an equidigital number, since it uses as much as digits as its factorization.

116876390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 116876390400 in words is "one hundred sixteen billion, eight hundred seventy-six million, three hundred ninety thousand, four hundred".