12873894596352 has 576 divisors, whose sum is σ = 40910349312000. Its totient is φ = 3981137817600.

The previous prime is 12873894596309. The next prime is 12873894596399. The reversal of 12873894596352 is 25369549837821.

12873894596352 is a `hidden beast` number, since 1 + 2 + 8 + 73 + 89 + 45 + 96 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2099800327 + ... + 2099806457.

It is an arithmetic number, because the mean of its divisors is an integer number (71024912000).

Almost surely, 2^{12873894596352} is an apocalyptic number.

12873894596352 is a gapful number since it is divisible by the number (12) 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 12873894596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20455174656000).

12873894596352 is an abundant number, since it is smaller than the sum of its proper divisors (28036454715648).

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

12873894596352 is a wasteful number, since it uses less digits than its factorization.

12873894596352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6485 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 12873894596352 in words is "twelve trillion, eight hundred seventy-three billion, eight hundred ninety-four million, five hundred ninety-six thousand, three hundred fifty-two".