115588601856 has 1440 divisors, whose sum is σ = 464258995200. Its totient is φ = 27948810240.

The previous prime is 115588601839. The next prime is 115588601873. The reversal of 115588601856 is 658106885511.

115588601856 is a `hidden beast` number, since 1 + 1 + 5 + 588 + 6 + 0 + 1 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (115588601839) and next prime (115588601873).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3728664561 + ... + 3728664591.

It is an arithmetic number, because the mean of its divisors is an integer number (322402080).

Almost surely, 2^115588601856 is an apocalyptic number.

115588601856 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 115588601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232129497600).

115588601856 is an abundant number, since it is smaller than the sum of its proper divisors (348670393344).

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

115588601856 is a wasteful number, since it uses less digits than its factorization.

115588601856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 54.

The spelling of 115588601856 in words is "one hundred fifteen billion, five hundred eighty-eight million, six hundred one thousand, eight hundred fifty-six".