12664438800 has 240 divisors, whose sum is σ = 44219961408. Its totient is φ = 3079526400.

The previous prime is 12664438789. The next prime is 12664438817. The reversal of 12664438800 is 883446621.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289910 + ... + 1299690.

Almost surely, 2^12664438800 is an apocalyptic number.

12664438800 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 12664438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109980704).

12664438800 is an abundant number, since it is smaller than the sum of its proper divisors (31555522608).

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

12664438800 is a wasteful number, since it uses less digits than its factorization.

12664438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9898 (or 9887 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 12664438800 in words is "twelve billion, six hundred sixty-four million, four hundred thirty-eight thousand, eight hundred".