480560171826320 has 40 divisors (see below), whose sum is σ = 1118992720949880. Its totient is φ = 191933260738560.

The previous prime is 480560171826289. The next prime is 480560171826353. The reversal of 480560171826320 is 23628171065084.

It can be written as a sum of positive squares in 4 ways, for example, as 92878090979584 + 387682080846736 = 9637328^2 + 19689644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4543821665 + ... + 4543927424.

It is an arithmetic number, because the mean of its divisors is an integer number (27974818023747).

Almost surely, 2^{480560171826320} is an apocalyptic number.

480560171826320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480560171826320 is an abundant number, since it is smaller than the sum of its proper divisors (638432549123560).

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

480560171826320 is a wasteful number, since it uses less digits than its factorization.

480560171826320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087749763 (or 9087749757 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 480560171826320 in words is "four hundred eighty trillion, five hundred sixty billion, one hundred seventy-one million, eight hundred twenty-six thousand, three hundred twenty".