115985527257600 has 9600 divisors, whose sum is σ = 620855790686208. Its totient is φ = 20600900812800.

The previous prime is 115985527257559. The next prime is 115985527257619. The reversal of 115985527257600 is 6752725589511.

115985527257600 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 8 + 5 + 52 + 7 + 2 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9600).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 959 ways as a sum of consecutive naturals, for example, 1026420595144 + ... + 1026420595256.

Almost surely, 2^{115985527257600} is an apocalyptic number.

115985527257600 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 115985527257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310427895343104).

115985527257600 is an abundant number, since it is smaller than the sum of its proper divisors (504870263428608).

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

115985527257600 is a wasteful number, since it uses less digits than its factorization.

115985527257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 63.

The spelling of 115985527257600 in words is "one hundred fifteen trillion, nine hundred eighty-five billion, five hundred twenty-seven million, two hundred fifty-seven thousand, six hundred".