115588804968 has 768 divisors, whose sum is σ = 420669849600. Its totient is φ = 27836835840.

The previous prime is 115588804963. The next prime is 115588804987. The reversal of 115588804968 is 869408885511.

115588804968 is a `hidden beast` number, since 1 + 1 + 5 + 588 + 8 + 0 + 49 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (115588804963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 509201671 + ... + 509201897.

It is an arithmetic number, because the mean of its divisors is an integer number (547747200).

Almost surely, 2^115588804968 is an apocalyptic number.

115588804968 is a gapful number since it is divisible by the number (18) 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 115588804968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210334924800).

115588804968 is an abundant number, since it is smaller than the sum of its proper divisors (305081044632).

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

115588804968 is a wasteful number, since it uses less digits than its factorization.

115588804968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 115588804968 in words is "one hundred fifteen billion, five hundred eighty-eight million, eight hundred four thousand, nine hundred sixty-eight".