12585262900 has 108 divisors (see below), whose sum is σ = 31839587136. Its totient is φ = 4305336000.

The previous prime is 12585262847. The next prime is 12585262901. The reversal of 12585262900 is 926258521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12585262901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2403285 + ... + 2408515.

It is an arithmetic number, because the mean of its divisors is an integer number (294810992).

Almost surely, 2^12585262900 is an apocalyptic number.

12585262900 is a gapful number since it is divisible by the number (10) 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 12585262900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15919793568).

12585262900 is an abundant number, since it is smaller than the sum of its proper divisors (19254324236).

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

12585262900 is a wasteful number, since it uses less digits than its factorization.

12585262900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 12585262900 in words is "twelve billion, five hundred eighty-five million, two hundred sixty-two thousand, nine hundred".