116004672000 has 480 divisors, whose sum is σ = 477533257344. Its totient is φ = 26514432000.

The previous prime is 116004671999. The next prime is 116004672037. The reversal of 116004672000 is 276400611.

116004672000 is a `hidden beast` number, since 11 + 600 + 46 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4017615 + ... + 4046385.

Almost surely, 2^116004672000 is an apocalyptic number.

116004672000 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 116004672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238766628672).

116004672000 is an abundant number, since it is smaller than the sum of its proper divisors (361528585344).

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

116004672000 is an equidigital number, since it uses as much as digits as its factorization.

116004672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28817 (or 28788 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 116004672000 in words is "one hundred sixteen billion, four million, six hundred seventy-two thousand".