11759436904 has 64 divisors (see below), whose sum is σ = 22732831440. Its totient is φ = 5700464640.

The previous prime is 11759436893. The next prime is 11759436917. The reversal of 11759436904 is 40963495711.

11759436904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10547700804 + 1211736100 = 102702^2 + 34810^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16042522 + ... + 16043254.

Almost surely, 2^11759436904 is an apocalyptic number.

It is an amenable number.

11759436904 is a deficient number, since it is larger than the sum of its proper divisors (10973394536).

11759436904 is a wasteful number, since it uses less digits than its factorization.

11759436904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 11759436904 in words is "eleven billion, seven hundred fifty-nine million, four hundred thirty-six thousand, nine hundred four".