12864079800 has 672 divisors, whose sum is σ = 52768028880. Its totient is φ = 2874009600.

The previous prime is 12864079799. The next prime is 12864079807. The reversal of 12864079800 is 897046821.

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 (12864079807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20849092 + ... + 20849708.

Almost surely, 2^12864079800 is an apocalyptic number.

12864079800 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 12864079800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26384014440).

12864079800 is an abundant number, since it is smaller than the sum of its proper divisors (39903949080).

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

12864079800 is a wasteful number, since it uses less digits than its factorization.

12864079800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12864079800 in words is "twelve billion, eight hundred sixty-four million, seventy-nine thousand, eight hundred".