12528481896 has 360 divisors, whose sum is σ = 43121492370. Its totient is φ = 3388065408.

The previous prime is 12528481883. The next prime is 12528481907. The reversal of 12528481896 is 69818482521.

12528481896 is a `hidden beast` number, since 12 + 528 + 4 + 8 + 18 + 96 = 666.

12528481896 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 only one way, i.e., 7020764100 + 5507717796 = 83790^2 + 74214^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 11461926 + ... + 11463018.

Almost surely, 2^12528481896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12528481896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21560746185).

12528481896 is an abundant number, since it is smaller than the sum of its proper divisors (30593010474).

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

12528481896 is a wasteful number, since it uses less digits than its factorization.

12528481896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1124 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 12528481896 in words is "twelve billion, five hundred twenty-eight million, four hundred eighty-one thousand, eight hundred ninety-six".