8018080560 has 960 divisors, whose sum is σ = 34813009920. Its totient is φ = 1612431360.

The previous prime is 8018080559. The next prime is 8018080571. The reversal of 8018080560 is 650808108.

8018080560 is a `hidden beast` number, since 8 + 0 + 18 + 0 + 80 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109836684 + ... + 109836756.

It is an arithmetic number, because the mean of its divisors is an integer number (36263552).

Almost surely, 2^8018080560 is an apocalyptic number.

8018080560 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 8018080560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17406504960).

8018080560 is an abundant number, since it is smaller than the sum of its proper divisors (26794929360).

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

8018080560 is a wasteful number, since it uses less digits than its factorization.

8018080560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8018080560 is about 89543.7354592715. The cubic root of 8018080560 is about 2001.5055796639.

Adding to 8018080560 its reverse (650808108), we get a palindrome (8668888668).

The spelling of 8018080560 in words is "eight billion, eighteen million, eighty thousand, five hundred sixty".