115879251058560 has 512 divisors, whose sum is σ = 453242697638400. Its totient is φ = 28091935918080.

The previous prime is 115879251058517. The next prime is 115879251058643. The reversal of 115879251058560 is 65850152978511.

115879251058560 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 7 + 9 + 2 + 5 + 10 + 58 + 560 = 666.

It is a congruent number.

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, 11633307 + ... + 19159653.

It is an arithmetic number, because the mean of its divisors is an integer number (885239643825).

Almost surely, 2^{115879251058560} is an apocalyptic number.

115879251058560 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 115879251058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226621348819200).

115879251058560 is an abundant number, since it is smaller than the sum of its proper divisors (337363446579840).

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

115879251058560 is an frugal number, since it uses more digits than its factorization.

115879251058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526398 (or 7526368 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 63.

The spelling of 115879251058560 in words is "one hundred fifteen trillion, eight hundred seventy-nine billion, two hundred fifty-one million, fifty-eight thousand, five hundred sixty".