11079568192 has 224 divisors, whose sum is σ = 29032565760. Its totient is φ = 4064256000.

The previous prime is 11079568189. The next prime is 11079568217. The reversal of 11079568192 is 29186597011.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22565067 + ... + 22565557.

Almost surely, 2^11079568192 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 11079568192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516282880).

11079568192 is an abundant number, since it is smaller than the sum of its proper divisors (17952997568).

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

11079568192 is a wasteful number, since it uses less digits than its factorization.

11079568192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

The spelling of 11079568192 in words is "eleven billion, seventy-nine million, five hundred sixty-eight thousand, one hundred ninety-two".