12824548800 has 336 divisors, whose sum is σ = 48317383680. Its totient is φ = 2917232640.

The previous prime is 12824548783. The next prime is 12824548801. The reversal of 12824548800 is 884542821.

12824548800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12824548801) 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 47 ways as a sum of consecutive naturals, for example, 8029602 + ... + 8031198.

Almost surely, 2^12824548800 is an apocalyptic number.

12824548800 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 12824548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24158691840).

12824548800 is an abundant number, since it is smaller than the sum of its proper divisors (35492834880).

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

12824548800 is a wasteful number, since it uses less digits than its factorization.

12824548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 12824548800 in words is "twelve billion, eight hundred twenty-four million, five hundred forty-eight thousand, eight hundred".