10005644521206 has 24 divisors (see below), whose sum is σ = 21683535826680. Its totient is φ = 3334501092096.

The previous prime is 10005644521163. The next prime is 10005644521211. The reversal of 10005644521206 is 60212544650001.

10005644521206 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 6 + 445 + 2 + 1 + 206 = 666.

It is a super-2 number, since 2×10005644521206² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59392576 + ... + 59560803.

It is an arithmetic number, because the mean of its divisors is an integer number (903480659445).

Almost surely, 2^{10005644521206} is an apocalyptic number.

10005644521206 is an abundant number, since it is smaller than the sum of its proper divisors (11677891305474).

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

10005644521206 is a wasteful number, since it uses less digits than its factorization.

10005644521206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118958060 (or 118958057 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10005644521206 in words is "ten trillion, five billion, six hundred forty-four million, five hundred twenty-one thousand, two hundred six".