10005984575 has 6 divisors (see below), whose sum is σ = 12407420904. Its totient is φ = 8004787640.

The previous prime is 10005984563. The next prime is 10005984589. The reversal of 10005984575 is 57548950001.

It is not a de Polignac number, because 10005984575 - 2⁶ = 10005984511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200119667 + ... + 200119716.

It is an arithmetic number, because the mean of its divisors is an integer number (2067903484).

Almost surely, 2^10005984575 is an apocalyptic number.

10005984575 is a deficient number, since it is larger than the sum of its proper divisors (2401436329).

10005984575 is an equidigital number, since it uses as much as digits as its factorization.

10005984575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400239393 (or 400239388 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 10005984575 in words is "ten billion, five million, nine hundred eighty-four thousand, five hundred seventy-five".