12885320448 has 864 divisors, whose sum is σ = 51569236992. Its totient is φ = 2985984000.

The previous prime is 12885320443. The next prime is 12885320507. The reversal of 12885320448 is 84402358821.

12885320448 is a `hidden beast` number, since 1 + 288 + 5 + 320 + 4 + 48 = 666.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12885320443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85333173 + ... + 85333323.

Almost surely, 2^12885320448 is an apocalyptic number.

12885320448 is a gapful number since it is divisible by the number (18) 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 12885320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25784618496).

12885320448 is an abundant number, since it is smaller than the sum of its proper divisors (38683916544).

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

12885320448 is a wasteful number, since it uses less digits than its factorization.

12885320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

It can be divided in two parts, 12885 and 320448, that added together give a palindrome (333333).

The spelling of 12885320448 in words is "twelve billion, eight hundred eighty-five million, three hundred twenty thousand, four hundred forty-eight".