12809871360 has 896 divisors, whose sum is σ = 54166129920. Its totient is φ = 2866544640.

The previous prime is 12809871311. The next prime is 12809871379. The reversal of 12809871360 is 6317890821.

12809871360 is a `hidden beast` number, since 1 + 280 + 9 + 8 + 7 + 1 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 985374714 + ... + 985374726.

It is an arithmetic number, because the mean of its divisors is an integer number (60453270).

Almost surely, 2^12809871360 is an apocalyptic number.

12809871360 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 12809871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27083064960).

12809871360 is an abundant number, since it is smaller than the sum of its proper divisors (41356258560).

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

12809871360 is an frugal number, since it uses more digits than its factorization.

12809871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12809871360 in words is "twelve billion, eight hundred nine million, eight hundred seventy-one thousand, three hundred sixty".