115315228800 has 1080 divisors, whose sum is σ = 460713067815. Its totient is φ = 28399472640.

The previous prime is 115315228799. The next prime is 115315228813. The reversal of 115315228800 is 8822513511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

115315228800 is a `hidden beast` number, since 1 + 1 + 53 + 1 + 522 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 44231137344 + 71084091456 = 210312^2 + 266616^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=240120.

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 134 ways as a sum of consecutive naturals, for example, 3976387186 + ... + 3976387214.

Almost surely, 2^115315228800 is an apocalyptic number.

115315228800 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 115315228800

115315228800 is an abundant number, since it is smaller than the sum of its proper divisors (345397839015).

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

115315228800 is an equidigital number, since it uses as much as digits as its factorization.

115315228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 115315228800 in words is "one hundred fifteen billion, three hundred fifteen million, two hundred twenty-eight thousand, eight hundred".