Answer: 15,120 distinct ways the digits 1,080,159,819 can be arranged.
Step-by-step explanation: When arranging digits of a number, the number of distinct ways refers to the number of unique permutations possible.
The factorial of the number of digits is often used to calculate the distinct ways the digits can be arranged.
Repeated digits in a number affect the total number of distinct arrangements.
Context: When asked how many distinct ways the digits 1,080,159,819 can be arranged, the question is essentially asking for the number of unique permutations that can be formed using these digits without repetition.