11582305186168 has 32 divisors (see below), whose sum is σ = 21767342889600. Its totient is φ = 5777681694048.

The previous prime is 11582305186159. The next prime is 11582305186169. The reversal of 11582305186168 is 86168150328511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11582305186169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 85776355 + ... + 85911277.

It is an arithmetic number, because the mean of its divisors is an integer number (680229465300).

Almost surely, 2^{11582305186168} is an apocalyptic number.

It is an amenable number.

11582305186168 is a deficient number, since it is larger than the sum of its proper divisors (10185037703432).

11582305186168 is a wasteful number, since it uses less digits than its factorization.

11582305186168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159811 (or 159807 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 55.

The spelling of 11582305186168 in words is "eleven trillion, five hundred eighty-two billion, three hundred five million, one hundred eighty-six thousand, one hundred sixty-eight".