115724547360 has 144 divisors (see below), whose sum is σ = 395850120120. Its totient is φ = 30786416640.

The previous prime is 115724547319. The next prime is 115724547397. The reversal of 115724547360 is 63745427511.

115724547360 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 245 + 47 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18358082064 + 97366465296 = 135492^2 + 312036^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510796 + ... + 701684.

Almost surely, 2^115724547360 is an apocalyptic number.

115724547360 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 115724547360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197925060060).

115724547360 is an abundant number, since it is smaller than the sum of its proper divisors (280125572760).

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

115724547360 is a wasteful number, since it uses less digits than its factorization.

115724547360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191331 (or 191320 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 115724547360 in words is "one hundred fifteen billion, seven hundred twenty-four million, five hundred forty-seven thousand, three hundred sixty".