116187955200 has 960 divisors, whose sum is σ = 460178381520. Its totient is φ = 28877783040.

The previous prime is 116187955199. The next prime is 116187955229. The reversal of 116187955200 is 2559781611.

116187955200 is a `hidden beast` number, since 1 + 1 + 618 + 7 + 9 + 5 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 1128038349 + ... + 1128038451.

Almost surely, 2^116187955200 is an apocalyptic number.

116187955200 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 116187955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230089190760).

116187955200 is an abundant number, since it is smaller than the sum of its proper divisors (343990426320).

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

116187955200 is an equidigital number, since it uses as much as digits as its factorization.

116187955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 116187955200 in words is "one hundred sixteen billion, one hundred eighty-seven million, nine hundred fifty-five thousand, two hundred".