10005644521256 has 16 divisors (see below), whose sum is σ = 18761558392500. Its totient is φ = 5002562283264.

The previous prime is 10005644521247. The next prime is 10005644521309. The reversal of 10005644521256 is 65212544650001.

10005644521256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9971258752900 + 34385768356 = 3157730^2 + 185434^2 .

It is a super-2 number, since 2×10005644521256² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32333555 + ... + 32641538.

Almost surely, 2^{10005644521256} is an apocalyptic number.

It is an amenable number.

10005644521256 is a deficient number, since it is larger than the sum of its proper divisors (8755913871244).

10005644521256 is a wasteful number, since it uses less digits than its factorization.

10005644521256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64994348 (or 64994344 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 10005644521256 in words is "ten trillion, five billion, six hundred forty-four million, five hundred twenty-one thousand, two hundred fifty-six".