12585228552 has 252 divisors, whose sum is σ = 38652671655. Its totient is φ = 3838109184.

The previous prime is 12585228541. The next prime is 12585228599. The reversal of 12585228552 is 25582258521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12585228552 is a `hidden beast` number, since 1 + 25 + 8 + 52 + 28 + 552 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 816016356 + 11769212196 = 28566^2 + 108486^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=79326.

It is a junction number, because it is equal to n+sod(n) for n = 12585228498 and 12585228507.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 111373648 + ... + 111373760.

Almost surely, 2^12585228552 is an apocalyptic number.

12585228552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12585228552

12585228552 is an abundant number, since it is smaller than the sum of its proper divisors (26067443103).

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

12585228552 is an equidigital number, since it uses as much as digits as its factorization.

12585228552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 131 counting only the distinct ones).

The product of its digits is 640000, while the sum is 45.

The spelling of 12585228552 in words is "twelve billion, five hundred eighty-five million, two hundred twenty-eight thousand, five hundred fifty-two".