115507250536160 has 192 divisors, whose sum is σ = 315650573820288. Its totient is φ = 39123825721344.

The previous prime is 115507250536081. The next prime is 115507250536169. The reversal of 115507250536160 is 61635052705511.

It is a super-3 number, since 3×115507250536160³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115507250536169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59558072 + ... + 61466888.

It is an arithmetic number, because the mean of its divisors is an integer number (1644013405314).

Almost surely, 2^{115507250536160} is an apocalyptic number.

115507250536160 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 115507250536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157825286910144).

115507250536160 is an abundant number, since it is smaller than the sum of its proper divisors (200143323284128).

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

115507250536160 is a wasteful number, since it uses less digits than its factorization.

115507250536160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909493 (or 1909485 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 47.

The spelling of 115507250536160 in words is "one hundred fifteen trillion, five hundred seven billion, two hundred fifty million, five hundred thirty-six thousand, one hundred sixty".