10823725120 has 56 divisors (see below), whose sum is σ = 27756621144. Its totient is φ = 3996450816.

The previous prime is 10823725097. The next prime is 10823725147. The reversal of 10823725120 is 2152732801.

It can be written as a sum of positive squares in 4 ways, for example, as 311734336 + 10511990784 = 17656^2 + 102528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296769 + ... + 1305088.

It is an arithmetic number, because the mean of its divisors is an integer number (495653949).

Almost surely, 2^10823725120 is an apocalyptic number.

10823725120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10823725120 is an abundant number, since it is smaller than the sum of its proper divisors (16932896024).

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

10823725120 is a wasteful number, since it uses less digits than its factorization.

10823725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601887 (or 2601877 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 10823725120 in words is "ten billion, eight hundred twenty-three million, seven hundred twenty-five thousand, one hundred twenty".