12664054466800 has 240 divisors, whose sum is σ = 35239602949632. Its totient is φ = 4322402611200.

The previous prime is 12664054466741. The next prime is 12664054466801. The reversal of 12664054466800 is 866445046621.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664054466801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27220939 + ... + 27682261.

Almost surely, 2^{12664054466800} is an apocalyptic number.

12664054466800 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 12664054466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619801474816).

12664054466800 is an abundant number, since it is smaller than the sum of its proper divisors (22575548482832).

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

12664054466800 is a wasteful number, since it uses less digits than its factorization.

12664054466800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461736 (or 461725 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 12664054466800 in words is "twelve trillion, six hundred sixty-four billion, fifty-four million, four hundred sixty-six thousand, eight hundred".