115500738166560 has 384 divisors, whose sum is σ = 405271986336000. Its totient is φ = 30722565758976.

The previous prime is 115500738166531. The next prime is 115500738166571. The reversal of 115500738166560 is 65661837005511.

115500738166560 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 0 + 0 + 73 + 8 + 1 + 6 + 6 + 560 = 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 = 115500738166497 and 115500738166506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11920806196 + ... + 11920815884.

It is an arithmetic number, because the mean of its divisors is an integer number (1055395797750).

Almost surely, 2^{115500738166560} is an apocalyptic number.

115500738166560 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 115500738166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202635993168000).

115500738166560 is an abundant number, since it is smaller than the sum of its proper divisors (289771248169440).

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

115500738166560 is a wasteful number, since it uses less digits than its factorization.

115500738166560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16385 (or 16371 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 115500738166560 in words is "one hundred fifteen trillion, five hundred billion, seven hundred thirty-eight million, one hundred sixty-six thousand, five hundred sixty".