12860806320 has 640 divisors, whose sum is σ = 48854016000. Its totient is φ = 3100446720.

The previous prime is 12860806313. The next prime is 12860806327. The reversal of 12860806320 is 2360806821.

12860806320 is a `hidden beast` number, since 1 + 28 + 608 + 0 + 6 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12860806313) and next prime (12860806327).

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

It is not an unprimeable number, because it can be changed into a prime (12860806327) 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, 71847991 + ... + 71848169.

It is an arithmetic number, because the mean of its divisors is an integer number (76334400).

Almost surely, 2^12860806320 is an apocalyptic number.

12860806320 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 12860806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427008000).

12860806320 is an abundant number, since it is smaller than the sum of its proper divisors (35993209680).

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

12860806320 is a wasteful number, since it uses less digits than its factorization.

12860806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12860806320 in words is "twelve billion, eight hundred sixty million, eight hundred six thousand, three hundred twenty".