12485827600 has 135 divisors (see below), whose sum is σ = 31035371031. Its totient is φ = 4827168000.

The previous prime is 12485827597. The next prime is 12485827661. The reversal of 12485827600 is 672858421.

It is a happy number.

The square root of 12485827600 is 111740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1185287184 + 11300540416 = 34428^2 + 106304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82687525 + ... + 82687675.

Almost surely, 2^12485827600 is an apocalyptic number.

12485827600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12485827600 is the 111740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12485827600

12485827600 is an abundant number, since it is smaller than the sum of its proper divisors (18549543431).

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

12485827600 is an equidigital number, since it uses as much as digits as its factorization.

12485827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 12485827600 in words is "twelve billion, four hundred eighty-five million, eight hundred twenty-seven thousand, six hundred".