12576446256000 has 1024 divisors, whose sum is σ = 48174712934400. Its totient is φ = 2870277120000.

The previous prime is 12576446255993. The next prime is 12576446256053. The reversal of 12576446256000 is 65264467521.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1635212155 + ... + 1635219845.

It is an arithmetic number, because the mean of its divisors is an integer number (47045618100).

Almost surely, 2^{12576446256000} is an apocalyptic number.

12576446256000 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 12576446256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24087356467200).

12576446256000 is an abundant number, since it is smaller than the sum of its proper divisors (35598266678400).

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

12576446256000 is a wasteful number, since it uses less digits than its factorization.

12576446256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 12576446256000 in words is "twelve trillion, five hundred seventy-six billion, four hundred forty-six million, two hundred fifty-six thousand".