115950735360 has 624 divisors, whose sum is σ = 435350208384. Its totient is φ = 29546643456.

The previous prime is 115950735349. The next prime is 115950735401. The reversal of 115950735360 is 63537059511.

115950735360 is a `hidden beast` number, since 1 + 1 + 59 + 507 + 35 + 3 + 60 = 666.

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

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, 114462214 + ... + 114463226.

It is an arithmetic number, because the mean of its divisors is an integer number (697676616).

Almost surely, 2^115950735360 is an apocalyptic number.

115950735360 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 115950735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217675104192).

115950735360 is an abundant number, since it is smaller than the sum of its proper divisors (319399473024).

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

115950735360 is an equidigital number, since it uses as much as digits as its factorization.

115950735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The spelling of 115950735360 in words is "one hundred fifteen billion, nine hundred fifty million, seven hundred thirty-five thousand, three hundred sixty".