116809076160 has 560 divisors, whose sum is σ = 479836910784. Its totient is φ = 26419986432.

The previous prime is 116809076123. The next prime is 116809076233. The reversal of 116809076160 is 61670908611.

It is a tau number, because it is divible by the number of its divisors (560).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17596362 + ... + 17602998.

Almost surely, 2^116809076160 is an apocalyptic number.

116809076160 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 116809076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239918455392).

116809076160 is an abundant number, since it is smaller than the sum of its proper divisors (363027834624).

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

116809076160 is an equidigital number, since it uses as much as digits as its factorization.

116809076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 116809076160 in words is "one hundred sixteen billion, eight hundred nine million, seventy-six thousand, one hundred sixty".