10968582272 has 24 divisors (see below), whose sum is σ = 21853833285. Its totient is φ = 5483698688.

The previous prime is 10968582271. The next prime is 10968582293. The reversal of 10968582272 is 27228586901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8118730816 + 2849851456 = 90104^2 + 53384^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=74056.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10968582272.

It is not an unprimeable number, because it can be changed into a prime (10968582271) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 1180268 + ... + 1189524.

Almost surely, 2^10968582272 is an apocalyptic number.

It is an amenable number.

10968582272 is a deficient number, since it is larger than the sum of its proper divisors (10885251013).

10968582272 is an frugal number, since it uses more digits than its factorization.

10968582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18528 (or 9259 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

Multiplying 10968582272 by its sum of digits (50), we get a square (548429113600 = 740560²).

The spelling of 10968582272 in words is "ten billion, nine hundred sixty-eight million, five hundred eighty-two thousand, two hundred seventy-two".