12809813800 has 192 divisors, whose sum is σ = 35804851200. Its totient is φ = 4169318400.

The previous prime is 12809813791. The next prime is 12809813801. The reversal of 12809813800 is 831890821.

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 (12809813801) 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 47 ways as a sum of consecutive naturals, for example, 2297416 + ... + 2302984.

It is an arithmetic number, because the mean of its divisors is an integer number (186483600).

Almost surely, 2^12809813800 is an apocalyptic number.

12809813800 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 12809813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902425600).

12809813800 is an abundant number, since it is smaller than the sum of its proper divisors (22995037400).

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

12809813800 is a wasteful number, since it uses less digits than its factorization.

12809813800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 12809813800 in words is "twelve billion, eight hundred nine million, eight hundred thirteen thousand, eight hundred".