11910884768 has 96 divisors (see below), whose sum is σ = 24967958400. Its totient is φ = 5577513984.

The previous prime is 11910884729. The next prime is 11910884779. The reversal of 11910884768 is 86748801911.

11910884768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 109137²-1.

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, 33177773 + ... + 33178131.

It is an arithmetic number, because the mean of its divisors is an integer number (260082900).

Almost surely, 2^11910884768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11910884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483979200).

11910884768 is an abundant number, since it is smaller than the sum of its proper divisors (13057073632).

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

11910884768 is a wasteful number, since it uses less digits than its factorization.

11910884768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 53.

The spelling of 11910884768 in words is "eleven billion, nine hundred ten million, eight hundred eighty-four thousand, seven hundred sixty-eight".