10729894560 has 576 divisors, whose sum is σ = 43602209280. Its totient is φ = 2192762880.

The previous prime is 10729894559. The next prime is 10729894577. The reversal of 10729894560 is 6549892701.

10729894560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 17333931 + ... + 17334549.

It is an arithmetic number, because the mean of its divisors is an integer number (75698280).

Almost surely, 2^10729894560 is an apocalyptic number.

10729894560 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 10729894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21801104640).

10729894560 is an abundant number, since it is smaller than the sum of its proper divisors (32872314720).

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

10729894560 is a wasteful number, since it uses less digits than its factorization.

10729894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 10729894560 in words is "ten billion, seven hundred twenty-nine million, eight hundred ninety-four thousand, five hundred sixty".