Как написать на Python в программе, которая вычисляет произведение чисел от 1 до N и среднего геометрического?

num = int(input("Enter a number: "))
factorial = 1    
if num < 0:    
   print(" Factorial does not exist for negative numbers")
elif num == 0:
   print("The factorial of 0 is 1")
else:
   for i in range(1,num + 1):
       factorial = factorial*i
   print("The factorial of",num,"is",factorial)
   print("The geometric mean is",factorial**(1/num))