116735160960 has 512 divisors, whose sum is σ = 474774912000. Its totient is φ = 26809159680.

The previous prime is 116735160959. The next prime is 116735160989. The reversal of 116735160960 is 69061537611.

116735160960 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 35 + 1 + 609 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3595359 + ... + 3627681.

It is an arithmetic number, because the mean of its divisors is an integer number (927294750).

Almost surely, 2^116735160960 is an apocalyptic number.

116735160960 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 116735160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237387456000).

116735160960 is an abundant number, since it is smaller than the sum of its proper divisors (358039751040).

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

116735160960 is a wasteful number, since it uses less digits than its factorization.

116735160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32381 (or 32363 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 116735160960 in words is "one hundred sixteen billion, seven hundred thirty-five million, one hundred sixty thousand, nine hundred sixty".