10564642807728 has 80 divisors (see below), whose sum is σ = 27344807546496. Its totient is φ = 3514738705920.

The previous prime is 10564642807721. The next prime is 10564642807787. The reversal of 10564642807728 is 82770824646501.

10564642807728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10564642807728² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10564642807721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59342175 + ... + 59519937.

Almost surely, 2^{10564642807728} is an apocalyptic number.

It is an amenable number.

10564642807728 is an abundant number, since it is smaller than the sum of its proper divisors (16780164738768).

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

10564642807728 is a wasteful number, since it uses less digits than its factorization.

10564642807728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180162 (or 180156 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 10564642807728 in words is "ten trillion, five hundred sixty-four billion, six hundred forty-two million, eight hundred seven thousand, seven hundred twenty-eight".