11892768192 has 224 divisors, whose sum is σ = 36941760000. Its totient is φ = 3741437952.

The previous prime is 11892768191. The next prime is 11892768259. The reversal of 11892768192 is 29186729811.

It is a happy number.

11892768192 is a `hidden beast` number, since 1 + 189 + 276 + 8 + 192 = 666.

11892768192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11892768191) 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 31 ways as a sum of consecutive naturals, for example, 11786184 + ... + 11787192.

Almost surely, 2^11892768192 is an apocalyptic number.

11892768192 is a gapful number since it is divisible by the number (12) 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 11892768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18470880000).

11892768192 is an abundant number, since it is smaller than the sum of its proper divisors (25048991808).

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

11892768192 is a wasteful number, since it uses less digits than its factorization.

11892768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1392 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 11892768192 in words is "eleven billion, eight hundred ninety-two million, seven hundred sixty-eight thousand, one hundred ninety-two".