10979065128 has 64 divisors (see below), whose sum is σ = 28104753600. Its totient is φ = 3572190720.

The previous prime is 10979065117. The next prime is 10979065151. The reversal of 10979065128 is 82156097901.

10979065128 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 (48) 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, 2207028 + ... + 2211996.

It is an arithmetic number, because the mean of its divisors is an integer number (439136775).

Almost surely, 2^10979065128 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 10979065128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052376800).

10979065128 is an abundant number, since it is smaller than the sum of its proper divisors (17125688472).

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

10979065128 is a wasteful number, since it uses less digits than its factorization.

10979065128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 10979065128 in words is "ten billion, nine hundred seventy-nine million, sixty-five thousand, one hundred twenty-eight".