8130080084480 has 160 divisors (see below), whose sum is σ = 20253414970800. Its totient is φ = 3126175137792.

The previous prime is 8130080084449. The next prime is 8130080084573. The reversal of 8130080084480 is 844800800318.

It can be written as a sum of positive squares in 8 ways, for example, as 5747181539584 + 2382898544896 = 2397328^2 + 1543664^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16761854 + ... + 17240066.

Almost surely, 2^{8130080084480} is an apocalyptic number.

8130080084480 is a gapful number since it is divisible by the number (80) 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 8130080084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126707485400).

8130080084480 is an abundant number, since it is smaller than the sum of its proper divisors (12123334886320).

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

8130080084480 is a wasteful number, since it uses less digits than its factorization.

8130080084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478494 (or 478478 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

Adding to 8130080084480 its reverse (844800800318), we get a palindrome (8974880884798).

The spelling of 8130080084480 in words is "eight trillion, one hundred thirty billion, eighty million, eighty-four thousand, four hundred eighty".