116517475200 has 384 divisors, whose sum is σ = 444800816640. Its totient is φ = 26256384000.

The previous prime is 116517475177. The next prime is 116517475213. The reversal of 116517475200 is 2574715611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4758990 + ... + 4783410.

It is an arithmetic number, because the mean of its divisors is an integer number (1158335460).

Almost surely, 2^116517475200 is an apocalyptic number.

116517475200 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 116517475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222400408320).

116517475200 is an abundant number, since it is smaller than the sum of its proper divisors (328283341440).

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

116517475200 is a wasteful number, since it uses less digits than its factorization.

116517475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24526 (or 24509 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 116517475200 in words is "one hundred sixteen billion, five hundred seventeen million, four hundred seventy-five thousand, two hundred".