11875981768 has 64 divisors (see below), whose sum is σ = 26810064000. Its totient is φ = 4817843712.

The previous prime is 11875981751. The next prime is 11875981823. The reversal of 11875981768 is 86718957811.

11875981768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

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, 1520818 + ... + 1528606.

It is an arithmetic number, because the mean of its divisors is an integer number (418907250).

Almost surely, 2^11875981768 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 11875981768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405032000).

11875981768 is an abundant number, since it is smaller than the sum of its proper divisors (14934082232).

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

11875981768 is a wasteful number, since it uses less digits than its factorization.

11875981768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9254 (or 9250 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 61.

The spelling of 11875981768 in words is "eleven billion, eight hundred seventy-five million, nine hundred eighty-one thousand, seven hundred sixty-eight".