115846536960 has 1296 divisors, whose sum is σ = 528245407872. Its totient is φ = 24037171200.

The previous prime is 115846536893. The next prime is 115846536991. The reversal of 115846536960 is 69635648511.

115846536960 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 46 + 536 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 = 115846536897 and 115846536906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167650215 + ... + 167650905.

Almost surely, 2^115846536960 is an apocalyptic number.

115846536960 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 115846536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264122703936).

115846536960 is an abundant number, since it is smaller than the sum of its proper divisors (412398870912).

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

115846536960 is an equidigital number, since it uses as much as digits as its factorization.

115846536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 115846536960 in words is "one hundred fifteen billion, eight hundred forty-six million, five hundred thirty-six thousand, nine hundred sixty".