115705657206000 has 480 divisors, whose sum is σ = 412156472083200. Its totient is φ = 30244370419200.

The previous prime is 115705657205987. The next prime is 115705657206031. The reversal of 115705657206000 is 602756507511.

115705657206000 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 0 + 565 + 7 + 20 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 368357011 + ... + 368670989.

It is an arithmetic number, because the mean of its divisors is an integer number (858659316840).

Almost surely, 2^{115705657206000} is an apocalyptic number.

115705657206000 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 115705657206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206078236041600).

115705657206000 is an abundant number, since it is smaller than the sum of its proper divisors (296450814877200).

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

115705657206000 is a wasteful number, since it uses less digits than its factorization.

115705657206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314414 (or 314395 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 115705657206000 in words is "one hundred fifteen trillion, seven hundred five billion, six hundred fifty-seven million, two hundred six thousand".