116704085760 has 432 divisors, whose sum is σ = 418539610944. Its totient is φ = 29999628288.

The previous prime is 116704085749. The next prime is 116704085777. The reversal of 116704085760 is 67580407611.

116704085760 is a `hidden beast` number, since 1 + 1 + 6 + 70 + 4 + 0 + 8 + 576 + 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 47 ways as a sum of consecutive naturals, for example, 48163909 + ... + 48166331.

It is an arithmetic number, because the mean of its divisors is an integer number (968841692).

Almost surely, 2^116704085760 is an apocalyptic number.

116704085760 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 116704085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209269805472).

116704085760 is an abundant number, since it is smaller than the sum of its proper divisors (301835525184).

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

116704085760 is a wasteful number, since it uses less digits than its factorization.

116704085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 116704085760 in words is "one hundred sixteen billion, seven hundred four million, eighty-five thousand, seven hundred sixty".