12828435585 has 64 divisors (see below), whose sum is σ = 23612774400. Its totient is φ = 5825820672.

The previous prime is 12828435551. The next prime is 12828435623. The reversal of 12828435585 is 58553482821.

It is a happy number.

It is not a de Polignac number, because 12828435585 - 2⁷ = 12828435457 is a prime.

It is a super-3 number, since 3×12828435585³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13808401 + ... + 13809329.

It is an arithmetic number, because the mean of its divisors is an integer number (368949600).

Almost surely, 2^12828435585 is an apocalyptic number.

12828435585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12828435585 is a deficient number, since it is larger than the sum of its proper divisors (10784338815).

12828435585 is a wasteful number, since it uses less digits than its factorization.

12828435585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670.

The product of its digits is 3072000, while the sum is 51.

The spelling of 12828435585 in words is "twelve billion, eight hundred twenty-eight million, four hundred thirty-five thousand, five hundred eighty-five".