115838439823680 has 1344 divisors, whose sum is σ = 467496056217600. Its totient is φ = 24138011197440.

The previous prime is 115838439823669. The next prime is 115838439823697. The reversal of 115838439823680 is 86328934838511.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4959462562 + ... + 4959485918.

Almost surely, 2^{115838439823680} is an apocalyptic number.

115838439823680 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 115838439823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233748028108800).

115838439823680 is an abundant number, since it is smaller than the sum of its proper divisors (351657616393920).

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

115838439823680 is a wasteful number, since it uses less digits than its factorization.

115838439823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23620 (or 23603 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 69.

The spelling of 115838439823680 in words is "one hundred fifteen trillion, eight hundred thirty-eight billion, four hundred thirty-nine million, eight hundred twenty-three thousand, six hundred eighty".