116208576000 has 480 divisors, whose sum is σ = 456637442976. Its totient is φ = 28170240000.

The previous prime is 116208575999. The next prime is 116208576037. The reversal of 116208576000 is 675802611.

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

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

It is a congruent number.

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, 6326830 + ... + 6345170.

Almost surely, 2^116208576000 is an apocalyptic number.

116208576000 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 116208576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228318721488).

116208576000 is an abundant number, since it is smaller than the sum of its proper divisors (340428866976).

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

116208576000 is a wasteful number, since it uses less digits than its factorization.

116208576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18391 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 116208576000 in words is "one hundred sixteen billion, two hundred eight million, five hundred seventy-six thousand".