115732260864 has 576 divisors, whose sum is σ = 391724424000. Its totient is φ = 33861058560.

The previous prime is 115732260851. The next prime is 115732260881. The reversal of 115732260864 is 468062237511.

115732260864 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 32 + 2 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 3990767602 + ... + 3990767630.

It is an arithmetic number, because the mean of its divisors is an integer number (680077125).

Almost surely, 2^115732260864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115732260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195862212000).

115732260864 is an abundant number, since it is smaller than the sum of its proper divisors (275992163136).

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

115732260864 is an frugal number, since it uses more digits than its factorization.

115732260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 115732260864 in words is "one hundred fifteen billion, seven hundred thirty-two million, two hundred sixty thousand, eight hundred sixty-four".