116228056032000 has 1440 divisors, whose sum is σ = 476524204123968. Its totient is φ = 27896832000000.

The previous prime is 116228056031963. The next prime is 116228056032019. The reversal of 116228056032000 is 230650822611.

116228056032000 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 28 + 0 + 5 + 603 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×116228056032000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2879691820 + ... + 2879732180.

Almost surely, 2^{116228056032000} is an apocalyptic number.

116228056032000 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 116228056032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238262102061984).

116228056032000 is an abundant number, since it is smaller than the sum of its proper divisors (360296148091968).

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

116228056032000 is a wasteful number, since it uses less digits than its factorization.

116228056032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40516 (or 40483 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 116228056032000 in words is "one hundred sixteen trillion, two hundred twenty-eight billion, fifty-six million, thirty-two thousand".