115937839469760 has 2688 divisors, whose sum is σ = 525471064473600. Its totient is φ = 21076070400000.

The previous prime is 115937839469689. The next prime is 115937839469761. The reversal of 115937839469760 is 67964938739511.

It is not an unprimeable number, because it can be changed into a prime (115937839469761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10304664135 + ... + 10304675385.

It is an arithmetic number, because the mean of its divisors is an integer number (195487747200).

Almost surely, 2^{115937839469760} is an apocalyptic number.

115937839469760 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 115937839469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262735532236800).

115937839469760 is an abundant number, since it is smaller than the sum of its proper divisors (409533225003840).

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

115937839469760 is a wasteful number, since it uses less digits than its factorization.

115937839469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11371 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 78.

The spelling of 115937839469760 in words is "one hundred fifteen trillion, nine hundred thirty-seven billion, eight hundred thirty-nine million, four hundred sixty-nine thousand, seven hundred sixty".