115791838072704 has 768 divisors, whose sum is σ = 363287304806400. Its totient is φ = 35264736460800.

The previous prime is 115791838072699. The next prime is 115791838072709. The reversal of 115791838072704 is 407270838197511.

115791838072704 is a `hidden beast` number, since 1 + 1 + 579 + 1 + 8 + 38 + 0 + 7 + 27 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (115791838072699) and next prime (115791838072709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115791838072709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54032587857 + ... + 54032589999.

It is an arithmetic number, because the mean of its divisors is an integer number (473030344800).

Almost surely, 2^{115791838072704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115791838072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181643652403200).

115791838072704 is an abundant number, since it is smaller than the sum of its proper divisors (247495466733696).

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

115791838072704 is a wasteful number, since it uses less digits than its factorization.

115791838072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 115791838072704 in words is "one hundred fifteen trillion, seven hundred ninety-one billion, eight hundred thirty-eight million, seventy-two thousand, seven hundred four".