115824965200 has 720 divisors, whose sum is σ = 358986547200. Its totient is φ = 35663846400.

The previous prime is 115824965197. The next prime is 115824965213. The reversal of 115824965200 is 2569428511.

It is a super-2 number, since 2×115824965200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 912007537 + ... + 912007663.

Almost surely, 2^115824965200 is an apocalyptic number.

115824965200 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 115824965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179493273600).

115824965200 is an abundant number, since it is smaller than the sum of its proper divisors (243161582000).

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

115824965200 is a wasteful number, since it uses less digits than its factorization.

115824965200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 115824965200 in words is "one hundred fifteen billion, eight hundred twenty-four million, nine hundred sixty-five thousand, two hundred".