12865742400 has 336 divisors, whose sum is σ = 49272846336. Its totient is φ = 2877818880.

The previous prime is 12865742387. The next prime is 12865742437. The reversal of 12865742400 is 424756821.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1575127 + ... + 1583273.

It is an arithmetic number, because the mean of its divisors is an integer number (146645376).

Almost surely, 2^12865742400 is an apocalyptic number.

12865742400 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 12865742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24636423168).

12865742400 is an abundant number, since it is smaller than the sum of its proper divisors (36407103936).

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

12865742400 is a wasteful number, since it uses less digits than its factorization.

12865742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 12865742400 in words is "twelve billion, eight hundred sixty-five million, seven hundred forty-two thousand, four hundred".