116601696668160 has 1920 divisors, whose sum is σ = 464425408871424. Its totient is φ = 27802616463360.

The previous prime is 116601696668147. The next prime is 116601696668161. The reversal of 116601696668160 is 61866696106611.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (116601696668161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119346669592 + ... + 119346670568.

Almost surely, 2^{116601696668160} is an apocalyptic number.

116601696668160 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 116601696668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232212704435712).

116601696668160 is an abundant number, since it is smaller than the sum of its proper divisors (347823712203264).

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

116601696668160 is a wasteful number, since it uses less digits than its factorization.

116601696668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 116601696668160 in words is "one hundred sixteen trillion, six hundred one billion, six hundred ninety-six million, six hundred sixty-eight thousand, one hundred sixty".