115728865920 has 192 divisors, whose sum is σ = 399866093640. Its totient is φ = 30842511360.

The previous prime is 115728865853. The next prime is 115728865927. The reversal of 115728865920 is 29568827511.

115728865920 is a `hidden beast` number, since 1 + 1 + 572 + 8 + 8 + 65 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63009032256 + 52719833664 = 251016^2 + 229608^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (115728865927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11497690 + ... + 11507750.

Almost surely, 2^115728865920 is an apocalyptic number.

115728865920 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 115728865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199933046820).

115728865920 is an abundant number, since it is smaller than the sum of its proper divisors (284137227720).

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

115728865920 is a wasteful number, since it uses less digits than its factorization.

115728865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 115728865920 in words is "one hundred fifteen billion, seven hundred twenty-eight million, eight hundred sixty-five thousand, nine hundred twenty".