115013443200 has 384 divisors, whose sum is σ = 396021528000. Its totient is φ = 29300490240.

The previous prime is 115013443189. The next prime is 115013443219. The reversal of 115013443200 is 2344310511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27002671 + ... + 27006929.

Almost surely, 2^115013443200 is an apocalyptic number.

115013443200 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 115013443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198010764000).

115013443200 is an abundant number, since it is smaller than the sum of its proper divisors (281008084800).

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

115013443200 is a wasteful number, since it uses less digits than its factorization.

115013443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 115013443200 its reverse (2344310511), we get a palindrome (117357753711).

The spelling of 115013443200 in words is "one hundred fifteen billion, thirteen million, four hundred forty-three thousand, two hundred".