12528078400 has 84 divisors (see below), whose sum is σ = 30861119380. Its totient is φ = 5005670400.

The previous prime is 12528078383. The next prime is 12528078401. The reversal of 12528078400 is 487082521.

12528078400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 391090176 + 12136988224 = 19776^2 + 110168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12528078400.

It is not an unprimeable number, because it can be changed into a prime (12528078401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1629766 + ... + 1637434.

Almost surely, 2^12528078400 is an apocalyptic number.

12528078400 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 12528078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430559690).

12528078400 is an abundant number, since it is smaller than the sum of its proper divisors (18333040980).

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

12528078400 is a wasteful number, since it uses less digits than its factorization.

12528078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712 (or 8697 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 12528078400 in words is "twelve billion, five hundred twenty-eight million, seventy-eight thousand, four hundred".