10989270768 has 120 divisors (see below), whose sum is σ = 34762120320. Its totient is φ = 2974527360.

The previous prime is 10989270727. The next prime is 10989270769. The reversal of 10989270768 is 86707298901.

10989270768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10989270769) 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 23 ways as a sum of consecutive naturals, for example, 78268 + ... + 167643.

It is an arithmetic number, because the mean of its divisors is an integer number (289684336).

Almost surely, 2^10989270768 is an apocalyptic number.

It is an amenable number.

10989270768 is an abundant number, since it is smaller than the sum of its proper divisors (23772849552).

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

10989270768 is a wasteful number, since it uses less digits than its factorization.

10989270768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245955 (or 245942 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 10989270768 in words is "ten billion, nine hundred eighty-nine million, two hundred seventy thousand, seven hundred sixty-eight".