10823422272 has 224 divisors, whose sum is σ = 31843211904. Its totient is φ = 3223756800.

The previous prime is 10823422261. The next prime is 10823422289. The reversal of 10823422272 is 27222432801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10200622 + ... + 10201682.

It is an arithmetic number, because the mean of its divisors is an integer number (142157196).

Almost surely, 2^10823422272 is an apocalyptic number.

10823422272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10823422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921605952).

10823422272 is an abundant number, since it is smaller than the sum of its proper divisors (21019789632).

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

10823422272 is a wasteful number, since it uses less digits than its factorization.

10823422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 10823422272 in words is "ten billion, eight hundred twenty-three million, four hundred twenty-two thousand, two hundred seventy-two".