12823405056 has 480 divisors, whose sum is σ = 48197540160. Its totient is φ = 3328819200.

The previous prime is 12823405033. The next prime is 12823405061. The reversal of 12823405056 is 65050432821.

12823405056 is a `hidden beast` number, since 128 + 23 + 4 + 0 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12823405056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7450276 + ... + 7451996.

It is an arithmetic number, because the mean of its divisors is an integer number (100411542).

Almost surely, 2^12823405056 is an apocalyptic number.

12823405056 is a gapful number since it is divisible by the number (16) 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 12823405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24098770080).

12823405056 is an abundant number, since it is smaller than the sum of its proper divisors (35374135104).

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

12823405056 is a wasteful number, since it uses less digits than its factorization.

12823405056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 12823405056 its reverse (65050432821), we get a palindrome (77873837877).

The spelling of 12823405056 in words is "twelve billion, eight hundred twenty-three million, four hundred five thousand, fifty-six".