115005391200 has 648 divisors, whose sum is σ = 492293522448. Its totient is φ = 25142261760.

The previous prime is 115005391159. The next prime is 115005391217. The reversal of 115005391200 is 2193500511.

115005391200 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 0 + 539 + 120 + 0 = 666.

It is a super-5 number, since 5×115005391200⁵ (a number of 57 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8107314 + ... + 8121486.

It is an arithmetic number, because the mean of its divisors is an integer number (759712226).

Almost surely, 2^115005391200 is an apocalyptic number.

115005391200 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 115005391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246146761224).

115005391200 is an abundant number, since it is smaller than the sum of its proper divisors (377288131248).

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

115005391200 is a wasteful number, since it uses less digits than its factorization.

115005391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14236 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

Adding to 115005391200 its reverse (2193500511), we get a palindrome (117198891711).

The spelling of 115005391200 in words is "one hundred fifteen billion, five million, three hundred ninety-one thousand, two hundred".