12878800704 has 1344 divisors, whose sum is σ = 54776217600. Its totient is φ = 2786918400.

The previous prime is 12878800691. The next prime is 12878800729. The reversal of 12878800704 is 40700887821.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 12878800704.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 415445169 + ... + 415445199.

Almost surely, 2^12878800704 is an apocalyptic number.

12878800704 is a gapful number since it is divisible by the number (14) 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 12878800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27388108800).

12878800704 is an abundant number, since it is smaller than the sum of its proper divisors (41897416896).

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

12878800704 is a wasteful number, since it uses less digits than its factorization.

12878800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 12878800704 in words is "twelve billion, eight hundred seventy-eight million, eight hundred thousand, seven hundred four".