8085216480 has 192 divisors, whose sum is σ = 27970500096. Its totient is φ = 1946880000.

The previous prime is 8085216457. The next prime is 8085216499. The reversal of 8085216480 is 846125808.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 792210 + ... + 802350.

It is an arithmetic number, because the mean of its divisors is an integer number (145679688).

Almost surely, 2^8085216480 is an apocalyptic number.

8085216480 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 8085216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985250048).

8085216480 is an abundant number, since it is smaller than the sum of its proper divisors (19885283616).

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

8085216480 is a wasteful number, since it uses less digits than its factorization.

8085216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 8085216480 is about 89917.8318243940. The cubic root of 8085216480 is about 2007.0763067464.

The spelling of 8085216480 in words is "eight billion, eighty-five million, two hundred sixteen thousand, four hundred eighty".