115767725265600 has 672 divisors, whose sum is σ = 394983545149440. Its totient is φ = 29650102272000.

The previous prime is 115767725265557. The next prime is 115767725265611. The reversal of 115767725265600 is 6562527767511.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 23420536729 + ... + 23420541671.

Almost surely, 2^{115767725265600} is an apocalyptic number.

115767725265600 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 115767725265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197491772574720).

115767725265600 is an abundant number, since it is smaller than the sum of its proper divisors (279215819883840).

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

115767725265600 is a wasteful number, since it uses less digits than its factorization.

115767725265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 60.

The spelling of 115767725265600 in words is "one hundred fifteen trillion, seven hundred sixty-seven billion, seven hundred twenty-five million, two hundred sixty-five thousand, six hundred".