115072488315200 has 336 divisors, whose sum is σ = 310949773815744. Its totient is φ = 41655682252800.

The previous prime is 115072488315163. The next prime is 115072488315221. The reversal of 115072488315200 is 2513884270511.

It is a happy number.

115072488315200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293853932 + ... + 294245268.

It is an arithmetic number, because the mean of its divisors is an integer number (925445755404).

Almost surely, 2^{115072488315200} is an apocalyptic number.

115072488315200 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 115072488315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155474886907872).

115072488315200 is an abundant number, since it is smaller than the sum of its proper divisors (195877285500544).

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

115072488315200 is a wasteful number, since it uses less digits than its factorization.

115072488315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391650 (or 391635 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 115072488315200 in words is "one hundred fifteen trillion, seventy-two billion, four hundred eighty-eight million, three hundred fifteen thousand, two hundred".