115084800000 has 936 divisors, whose sum is σ = 442541644272. Its totient is φ = 29859840000.

The previous prime is 115084799987. The next prime is 115084800031. The reversal of 115084800000 is 8480511.

It is a super-2 number, since 2×115084800000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3110399982 + ... + 3110400018.

It is an arithmetic number, because the mean of its divisors is an integer number (472800902).

Almost surely, 2^115084800000 is an apocalyptic number.

115084800000 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 115084800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221270822136).

115084800000 is an abundant number, since it is smaller than the sum of its proper divisors (327456844272).

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

115084800000 is an frugal number, since it uses more digits than its factorization.

115084800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 115084800000 in words is "one hundred fifteen billion, eighty-four million, eight hundred thousand".