115361298360 has 960 divisors, whose sum is σ = 492399452160. Its totient is φ = 23710579200.

The previous prime is 115361298347. The next prime is 115361298361. The reversal of 115361298360 is 63892163511.

115361298360 is a `hidden beast` number, since 11 + 536 + 1 + 29 + 83 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115361298361) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 348523395 + ... + 348523725.

It is an arithmetic number, because the mean of its divisors is an integer number (512916096).

Almost surely, 2^115361298360 is an apocalyptic number.

115361298360 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 115361298360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246199726080).

115361298360 is an abundant number, since it is smaller than the sum of its proper divisors (377038153800).

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

115361298360 is a wasteful number, since it uses less digits than its factorization.

115361298360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 115361298360 in words is "one hundred fifteen billion, three hundred sixty-one million, two hundred ninety-eight thousand, three hundred sixty".