12838604800 has 156 divisors (see below), whose sum is σ = 36385863616. Its totient is φ = 4401561600.

The previous prime is 12838604783. The next prime is 12838604887. The reversal of 12838604800 is 840683821.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 707845 + ... + 725755.

Almost surely, 2^12838604800 is an apocalyptic number.

12838604800 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 12838604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192931808).

12838604800 is an abundant number, since it is smaller than the sum of its proper divisors (23547258816).

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

12838604800 is an equidigital number, since it uses as much as digits as its factorization.

12838604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17952 (or 17925 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 12838604800 in words is "twelve billion, eight hundred thirty-eight million, six hundred four thousand, eight hundred".