115706149827840 has 3456 divisors, whose sum is σ = 529630706142720. Its totient is φ = 22847422464000.

The previous prime is 115706149827797. The next prime is 115706149827881. The reversal of 115706149827840 is 48728941607511.

115706149827840 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 0 + 61 + 498 + 2 + 7 + 84 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53741824204 + ... + 53741826356.

It is an arithmetic number, because the mean of its divisors is an integer number (153249625620).

Almost surely, 2^{115706149827840} is an apocalyptic number.

115706149827840 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 115706149827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264815353071360).

115706149827840 is an abundant number, since it is smaller than the sum of its proper divisors (413924556314880).

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

115706149827840 is a wasteful number, since it uses less digits than its factorization.

115706149827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 115706149827840 in words is "one hundred fifteen trillion, seven hundred six billion, one hundred forty-nine million, eight hundred twenty-seven thousand, eight hundred forty".