12848164427280 has 640 divisors, whose sum is σ = 50361426662400. Its totient is φ = 2637061816320.

The previous prime is 12848164427269. The next prime is 12848164427281. The reversal of 12848164427280 is 8272446184821.

12848164427280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12848164427280.

It is not an unprimeable number, because it can be changed into a prime (12848164427281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312488004 + ... + 312529116.

It is an arithmetic number, because the mean of its divisors is an integer number (78689729160).

Almost surely, 2^{12848164427280} is an apocalyptic number.

12848164427280 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 12848164427280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25180713331200).

12848164427280 is an abundant number, since it is smaller than the sum of its proper divisors (37513262235120).

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

12848164427280 is a wasteful number, since it uses less digits than its factorization.

12848164427280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41539 (or 41533 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 57.

The spelling of 12848164427280 in words is "twelve trillion, eight hundred forty-eight billion, one hundred sixty-four million, four hundred twenty-seven thousand, two hundred eighty".