115685172675072 has 5760 divisors, whose sum is σ = 507140874240000. Its totient is φ = 25107347865600.

The previous prime is 115685172675071. The next prime is 115685172675139. The reversal of 115685172675072 is 270576271586511.

115685172675072 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 8 + 51 + 72 + 6 + 7 + 507 + 2 = 666.

It is a super-2 number, since 2×115685172675072² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (115685172675071) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1464369274329 + ... + 1464369274407.

Almost surely, 2^{115685172675072} is an apocalyptic number.

115685172675072 is a gapful number since it is divisible by the number (12) 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 115685172675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253570437120000).

115685172675072 is an abundant number, since it is smaller than the sum of its proper divisors (391455701564928).

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

115685172675072 is a wasteful number, since it uses less digits than its factorization.

115685172675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 63.

The spelling of 115685172675072 in words is "one hundred fifteen trillion, six hundred eighty-five billion, one hundred seventy-two million, six hundred seventy-five thousand, seventy-two".