12864424360 has 64 divisors (see below), whose sum is σ = 30179174400. Its totient is φ = 4929152256.

The previous prime is 12864424303. The next prime is 12864424367. The reversal of 12864424360 is 6342446821.

It is a super-2 number, since 2×12864424360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12864424367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103659 + ... + 190981.

It is an arithmetic number, because the mean of its divisors is an integer number (471549600).

Almost surely, 2^12864424360 is an apocalyptic number.

12864424360 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 12864424360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089587200).

12864424360 is an abundant number, since it is smaller than the sum of its proper divisors (17314750040).

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

12864424360 is a wasteful number, since it uses less digits than its factorization.

12864424360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87490 (or 87486 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 12864424360 in words is "twelve billion, eight hundred sixty-four million, four hundred twenty-four thousand, three hundred sixty".