12029859585 has 56 divisors (see below), whose sum is σ = 21680931624. Its totient is φ = 6404935680.

The previous prime is 12029859577. The next prime is 12029859601. The reversal of 12029859585 is 58595892021.

12029859585 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 9 + 8 + 59 + 585 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1838351376 + 10191508209 = 42876^2 + 100953^2 .

It is not a de Polignac number, because 12029859585 - 2³ = 12029859577 is a prime.

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 55 ways as a sum of consecutive naturals, for example, 2406849 + ... + 2411841.

Almost surely, 2^12029859585 is an apocalyptic number.

12029859585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12029859585 is a deficient number, since it is larger than the sum of its proper divisors (9651072039).

12029859585 is an frugal number, since it uses more digits than its factorization.

12029859585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 12029859585 in words is "twelve billion, twenty-nine million, eight hundred fifty-nine thousand, five hundred eighty-five".