115102844057600 has 576 divisors, whose sum is σ = 356480863764480. Its totient is φ = 35944228454400.

The previous prime is 115102844057561. The next prime is 115102844057609. The reversal of 115102844057600 is 6750448201511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115102844057609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188572097 + ... + 189181503.

It is an arithmetic number, because the mean of its divisors is an integer number (618890388480).

Almost surely, 2^{115102844057600} is an apocalyptic number.

115102844057600 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 115102844057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178240431882240).

115102844057600 is an abundant number, since it is smaller than the sum of its proper divisors (241378019706880).

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

115102844057600 is a wasteful number, since it uses less digits than its factorization.

115102844057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609494 (or 609469 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 115102844057600 in words is "one hundred fifteen trillion, one hundred two billion, eight hundred forty-four million, fifty-seven thousand, six hundred".