116159484672000 has 5760 divisors, whose sum is σ = 579469431340800. Its totient is φ = 22824861696000.

The previous prime is 116159484671957. The next prime is 116159484672017. The reversal of 116159484672000 is 276484951611.

116159484672000 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 594 + 8 + 46 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 212357375727 + ... + 212357376273.

It is an arithmetic number, because the mean of its divisors is an integer number (100602331830).

Almost surely, 2^{116159484672000} is an apocalyptic number.

116159484672000 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 116159484672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289734715670400).

116159484672000 is an abundant number, since it is smaller than the sum of its proper divisors (463309946668800).

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

116159484672000 is a wasteful number, since it uses less digits than its factorization.

116159484672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 116159484672000 in words is "one hundred sixteen trillion, one hundred fifty-nine billion, four hundred eighty-four million, six hundred seventy-two thousand".