115759964160 has 1120 divisors, whose sum is σ = 455589997632. Its totient is φ = 28028436480.

The previous prime is 115759964147. The next prime is 115759964171. The reversal of 115759964160 is 61469957511.

115759964160 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 599 + 6 + 41 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 115759964097 and 115759964106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2823413740 + ... + 2823413780.

Almost surely, 2^115759964160 is an apocalyptic number.

115759964160 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 115759964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227794998816).

115759964160 is an abundant number, since it is smaller than the sum of its proper divisors (339830033472).

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

115759964160 is an equidigital number, since it uses as much as digits as its factorization.

115759964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 115759964160 in words is "one hundred fifteen billion, seven hundred fifty-nine million, nine hundred sixty-four thousand, one hundred sixty".