12528472320 has 1728 divisors, whose sum is σ = 61068833280. Its totient is φ = 2293235712.

The previous prime is 12528472279. The next prime is 12528472331. The reversal of 12528472320 is 2327482521.

12528472320 is a `hidden beast` number, since 1 + 252 + 84 + 7 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338607342 + ... + 338607378.

It is an arithmetic number, because the mean of its divisors is an integer number (35340760).

Almost surely, 2^12528472320 is an apocalyptic number.

12528472320 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 12528472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30534416640).

12528472320 is an abundant number, since it is smaller than the sum of its proper divisors (48540360960).

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

12528472320 is a wasteful number, since it uses less digits than its factorization.

12528472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12528472320 in words is "twelve billion, five hundred twenty-eight million, four hundred seventy-two thousand, three hundred twenty".