12693568800 has 288 divisors, whose sum is σ = 45259603200. Its totient is φ = 3064550400.

The previous prime is 12693568793. The next prime is 12693568861. The reversal of 12693568800 is 886539621.

It is a happy number.

It is a super-2 number, since 2×12693568800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12693568800.

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, 7470351 + ... + 7472049.

It is an arithmetic number, because the mean of its divisors is an integer number (157151400).

Almost surely, 2^12693568800 is an apocalyptic number.

12693568800 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 12693568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629801600).

12693568800 is an abundant number, since it is smaller than the sum of its proper divisors (32566034400).

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

12693568800 is a wasteful number, since it uses less digits than its factorization.

12693568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 12693568800 in words is "twelve billion, six hundred ninety-three million, five hundred sixty-eight thousand, eight hundred".