12854728704000 has 960 divisors, whose sum is σ = 47273866278912. Its totient is φ = 3085434880000.

The previous prime is 12854728703963. The next prime is 12854728704047. The reversal of 12854728704000 is 40782745821.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2402301325 + ... + 2402306675.

Almost surely, 2^{12854728704000} is an apocalyptic number.

12854728704000 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 12854728704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23636933139456).

12854728704000 is an abundant number, since it is smaller than the sum of its proper divisors (34419137574912).

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

12854728704000 is an equidigital number, since it uses as much as digits as its factorization.

12854728704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 12854728704000 in words is "twelve trillion, eight hundred fifty-four billion, seven hundred twenty-eight million, seven hundred four thousand".