115332350115200 has 384 divisors, whose sum is σ = 289028110615200. Its totient is φ = 45471257395200.

The previous prime is 115332350115197. The next prime is 115332350115217. The reversal of 115332350115200 is 2511053233511.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93235528982 + ... + 93235530218.

Almost surely, 2^{115332350115200} is an apocalyptic number.

115332350115200 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 115332350115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144514055307600).

115332350115200 is an abundant number, since it is smaller than the sum of its proper divisors (173695760500000).

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

115332350115200 is a wasteful number, since it uses less digits than its factorization.

115332350115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The spelling of 115332350115200 in words is "one hundred fifteen trillion, three hundred thirty-two billion, three hundred fifty million, one hundred fifteen thousand, two hundred".