115757494169856 has 864 divisors, whose sum is σ = 390018765717504. Its totient is φ = 29834348544000.

The previous prime is 115757494169773. The next prime is 115757494169873. The reversal of 115757494169856 is 658961494757511.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59332389681 + ... + 59332391631.

Almost surely, 2^{115757494169856} is an apocalyptic number.

115757494169856 is a gapful number since it is divisible by the number (16) 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 115757494169856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195009382858752).

115757494169856 is an abundant number, since it is smaller than the sum of its proper divisors (274261271547648).

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

115757494169856 is a wasteful number, since it uses less digits than its factorization.

115757494169856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2634 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 78.

The spelling of 115757494169856 in words is "one hundred fifteen trillion, seven hundred fifty-seven billion, four hundred ninety-four million, one hundred sixty-nine thousand, eight hundred fifty-six".