12528416800 has 72 divisors (see below), whose sum is σ = 30616204500. Its totient is φ = 5006254080.

The previous prime is 12528416767. The next prime is 12528416827. The reversal of 12528416800 is 861482521.

It can be written as a sum of positive squares in 6 ways, for example, as 9792289936 + 2736126864 = 98956^2 + 52308^2 .

It is a super-2 number, since 2×12528416800² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12528416800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 831736 + ... + 846664.

Almost surely, 2^12528416800 is an apocalyptic number.

12528416800 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 12528416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15308102250).

12528416800 is an abundant number, since it is smaller than the sum of its proper divisors (18087787700).

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

12528416800 is a wasteful number, since it uses less digits than its factorization.

12528416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15998 (or 15985 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 12528416800 in words is "twelve billion, five hundred twenty-eight million, four hundred sixteen thousand, eight hundred".