12821273568 has 240 divisors, whose sum is σ = 39885365520. Its totient is φ = 4029087744.

The previous prime is 12821273561. The next prime is 12821273573. The reversal of 12821273568 is 86537212821.

12821273568 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 12 + 73 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821273561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12656230 + ... + 12657242.

It is an arithmetic number, because the mean of its divisors is an integer number (166189023).

Almost surely, 2^12821273568 is an apocalyptic number.

12821273568 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 12821273568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19942682760).

12821273568 is an abundant number, since it is smaller than the sum of its proper divisors (27064091952).

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

12821273568 is a wasteful number, since it uses less digits than its factorization.

12821273568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1294 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12821273568 in words is "twelve billion, eight hundred twenty-one million, two hundred seventy-three thousand, five hundred sixty-eight".