12809502720 has 768 divisors, whose sum is σ = 54470594880. Its totient is φ = 2717908992.

The previous prime is 12809502649. The next prime is 12809502721. The reversal of 12809502720 is 2720590821.

12809502720 is a `hidden beast` number, since 1 + 2 + 80 + 9 + 502 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12809502721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175472604 + ... + 175472676.

Almost surely, 2^12809502720 is an apocalyptic number.

12809502720 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 12809502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27235297440).

12809502720 is an abundant number, since it is smaller than the sum of its proper divisors (41661092160).

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

12809502720 is an equidigital number, since it uses as much as digits as its factorization.

12809502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12809502720 in words is "twelve billion, eight hundred nine million, five hundred two thousand, seven hundred twenty".