10922296320 has 264 divisors, whose sum is σ = 40758897816. Its totient is φ = 2688417792.

The previous prime is 10922296279. The next prime is 10922296331. The reversal of 10922296320 is 2369222901.

10922296320 is a `hidden beast` number, since 10 + 9 + 2 + 2 + 2 + 9 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 410305536 + 10511990784 = 20256^2 + 102528^2 .

It is a super-3 number, since 3×10922296320³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589924 + ... + 608156.

Almost surely, 2^10922296320 is an apocalyptic number.

10922296320 is a gapful number since it is divisible by the number (10) 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 10922296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379448908).

10922296320 is an abundant number, since it is smaller than the sum of its proper divisors (29836601496).

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

10922296320 is a wasteful number, since it uses less digits than its factorization.

10922296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18277 (or 18256 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10922296320 in words is "ten billion, nine hundred twenty-two million, two hundred ninety-six thousand, three hundred twenty".