116515249200 has 960 divisors, whose sum is σ = 499776583680. Its totient is φ = 25206128640.

The previous prime is 116515249163. The next prime is 116515249211. The reversal of 116515249200 is 2942515611.

116515249200 is a `hidden beast` number, since 1 + 16 + 5 + 152 + 492 + 0 + 0 = 666.

It is a super-2 number, since 2×116515249200² (a number of 23 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 191 ways as a sum of consecutive naturals, for example, 196484104 + ... + 196484696.

It is an arithmetic number, because the mean of its divisors is an integer number (520600608).

Almost surely, 2^116515249200 is an apocalyptic number.

116515249200 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 116515249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249888291840).

116515249200 is an abundant number, since it is smaller than the sum of its proper divisors (383261334480).

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

116515249200 is a wasteful number, since it uses less digits than its factorization.

116515249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 116515249200 in words is "one hundred sixteen billion, five hundred fifteen million, two hundred forty-nine thousand, two hundred".