10726561296 has 320 divisors, whose sum is σ = 34995974400. Its totient is φ = 3115929600.

The previous prime is 10726561253. The next prime is 10726561319. The reversal of 10726561296 is 69216562701.

10726561296 is a `hidden beast` number, since 1 + 0 + 7 + 26 + 5 + 612 + 9 + 6 = 666.

10726561296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38172676 + ... + 38172956.

It is an arithmetic number, because the mean of its divisors is an integer number (109362420).

Almost surely, 2^10726561296 is an apocalyptic number.

10726561296 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 10726561296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17497987200).

10726561296 is an abundant number, since it is smaller than the sum of its proper divisors (24269413104).

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

10726561296 is a wasteful number, since it uses less digits than its factorization.

10726561296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10726561296 in words is "ten billion, seven hundred twenty-six million, five hundred sixty-one thousand, two hundred ninety-six".