115260456960 has 1224 divisors, whose sum is σ = 489502999440. Its totient is φ = 24914165760.

The previous prime is 115260456929. The next prime is 115260457001. The reversal of 115260456960 is 69654062511.

115260456960 is a `hidden beast` number, since 1 + 1 + 5 + 26 + 0 + 4 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

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 71 ways as a sum of consecutive naturals, for example, 6066339831 + ... + 6066339849.

Almost surely, 2^115260456960 is an apocalyptic number.

115260456960 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 115260456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244751499720).

115260456960 is an abundant number, since it is smaller than the sum of its proper divisors (374242542480).

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

115260456960 is a wasteful number, since it uses less digits than its factorization.

115260456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 115260456960 in words is "one hundred fifteen billion, two hundred sixty million, four hundred fifty-six thousand, nine hundred sixty".