116120729088 has 800 divisors, whose sum is σ = 441697354560. Its totient is φ = 29541335040.

The previous prime is 116120729047. The next prime is 116120729141. The reversal of 116120729088 is 880927021611.

116120729088 is a `hidden beast` number, since 1 + 1 + 612 + 0 + 7 + 29 + 0 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109444078 + ... + 109445138.

Almost surely, 2^116120729088 is an apocalyptic number.

116120729088 is a gapful number since it is divisible by the number (18) 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 116120729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220848677280).

116120729088 is an abundant number, since it is smaller than the sum of its proper divisors (325576625472).

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

116120729088 is a wasteful number, since it uses less digits than its factorization.

116120729088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 116120729088 in words is "one hundred sixteen billion, one hundred twenty million, seven hundred twenty-nine thousand, eighty-eight".