10564169728 has 78 divisors (see below), whose sum is σ = 24183567096. Its totient is φ = 4520042496.

The previous prime is 10564169713. The next prime is 10564169747. The reversal of 10564169728 is 82796146501.

It is a happy number.

It is a super-3 number, since 3×10564169728³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17403601 + ... + 17404207.

It is an arithmetic number, because the mean of its divisors is an integer number (310045732).

Almost surely, 2^10564169728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091783548).

10564169728 is an abundant number, since it is smaller than the sum of its proper divisors (13619397368).

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

10564169728 is an frugal number, since it uses more digits than its factorization.

10564169728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 10564169728 in words is "ten billion, five hundred sixty-four million, one hundred sixty-nine thousand, seven hundred twenty-eight".