115295560704 has 297 divisors, whose sum is σ = 348359305411. Its totient is φ = 38138480640.

The previous prime is 115295560673. The next prime is 115295560711. The reversal of 115295560704 is 407065592511.

It is a happy number.

The square root of 115295560704 is 339552.

It is a perfect power (a square), and thus also a powerful number.

115295560704 is a `hidden beast` number, since 1 + 1 + 5 + 29 + 556 + 0 + 70 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115295560704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 880118719 + ... + 880118849.

Almost surely, 2^115295560704 is an apocalyptic number.

115295560704 is the 339552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115295560704

115295560704 is an abundant number, since it is smaller than the sum of its proper divisors (233063744707).

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

115295560704 is an frugal number, since it uses more digits than its factorization.

115295560704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 115295560704 in words is "one hundred fifteen billion, two hundred ninety-five million, five hundred sixty thousand, seven hundred four".