I used an unsigned long long int. In python3, there is no limit to the max int, it depends on what your system memory can take. In C, I ran the code in linux, an unsigned long has a range of 0 to 18446744073709551615.

factorial.c

#include <stdio.h>

unsigned long long int factorial(int n)
{
    if (n == 0)
    {
        return 1;
    }
    else
    {
        return n * factorial(n - 1);
    }
}

int main(void)
{
    int n;
    printf("Enter a number: ");
    scanf("%d", &n);
    printf("%lld\n", factorial(n));
    return 0;
}