115742515045840 has 160 divisors (see below), whose sum is σ = 281071358522784. Its totient is φ = 44281054494720.

The previous prime is 115742515045831. The next prime is 115742515045873. The reversal of 115742515045840 is 48540515247511.

It can be written as a sum of positive squares in 16 ways, for example, as 23532511465024 + 92210003580816 = 4851032^2 + 9602604^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306221452 + ... + 306599188.

Almost surely, 2^{115742515045840} is an apocalyptic number.

115742515045840 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 115742515045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140535679261392).

115742515045840 is an abundant number, since it is smaller than the sum of its proper divisors (165328843476944).

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

115742515045840 is a wasteful number, since it uses less digits than its factorization.

115742515045840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379545 (or 379539 counting only the distinct ones).

The product of its (nonzero) digits is 4480000, while the sum is 52.

The spelling of 115742515045840 in words is "one hundred fifteen trillion, seven hundred forty-two billion, five hundred fifteen million, forty-five thousand, eight hundred forty".