10522826496 has 432 divisors, whose sum is σ = 38569789440. Its totient is φ = 2684067840.

The previous prime is 10522826491. The next prime is 10522826507. The reversal of 10522826496 is 69462822501.

10522826496 is a `hidden beast` number, since 1 + 0 + 522 + 82 + 6 + 49 + 6 = 666.

It is a super-2 number, since 2×10522826496² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522826491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6498775 + ... + 6500393.

It is an arithmetic number, because the mean of its divisors is an integer number (89281920).

Almost surely, 2^10522826496 is an apocalyptic number.

10522826496 is a gapful number since it is divisible by the number (16) 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 10522826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284894720).

10522826496 is an abundant number, since it is smaller than the sum of its proper divisors (28046962944).

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

10522826496 is a wasteful number, since it uses less digits than its factorization.

10522826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10522826496 in words is "ten billion, five hundred twenty-two million, eight hundred twenty-six thousand, four hundred ninety-six".