10822735688 has 12 divisors (see below), whose sum is σ = 20293181145. Its totient is φ = 5411220720.

The previous prime is 10822735643. The next prime is 10822735691. The reversal of 10822735688 is 88653722801.

It is a happy number.

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 6285635524 + 4537100164 = 79282^2 + 67358^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=73562.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 275858 + ... + 312638.

Almost surely, 2^10822735688 is an apocalyptic number.

It is an amenable number.

10822735688 is a deficient number, since it is larger than the sum of its proper divisors (9470445457).

10822735688 is an frugal number, since it uses more digits than its factorization.

10822735688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73568 (or 36783 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

Multiplying 10822735688 by its sum of digits (50), we get a square (541136784400 = 735620²).

The spelling of 10822735688 in words is "ten billion, eight hundred twenty-two million, seven hundred thirty-five thousand, six hundred eighty-eight".