12528967680 has 224 divisors, whose sum is σ = 44548653600. Its totient is φ = 3340763136.

The previous prime is 12528967667. The next prime is 12528967681. The reversal of 12528967680 is 8676982521.

It is a super-2 number, since 2×12528967680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12528967681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100256 + ... + 1111584.

Almost surely, 2^12528967680 is an apocalyptic number.

12528967680 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 12528967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22274326800).

12528967680 is an abundant number, since it is smaller than the sum of its proper divisors (32019685920).

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

12528967680 is an equidigital number, since it uses as much as digits as its factorization.

12528967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11369 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12528967680 in words is "twelve billion, five hundred twenty-eight million, nine hundred sixty-seven thousand, six hundred eighty".