12876418800 has 960 divisors, whose sum is σ = 56992066560. Its totient is φ = 2694021120.

The previous prime is 12876418777. The next prime is 12876418801. The reversal of 12876418800 is 881467821.

It is a super-2 number, since 2×12876418800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12876418801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55263484 + ... + 55263716.

It is an arithmetic number, because the mean of its divisors is an integer number (59366736).

Almost surely, 2^12876418800 is an apocalyptic number.

12876418800 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 12876418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28496033280).

12876418800 is an abundant number, since it is smaller than the sum of its proper divisors (44115647760).

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

12876418800 is a wasteful number, since it uses less digits than its factorization.

12876418800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12876418800 in words is "twelve billion, eight hundred seventy-six million, four hundred eighteen thousand, eight hundred".