8005685520 has 160 divisors (see below), whose sum is σ = 29278126080. Its totient is φ = 1770831360.

The previous prime is 8005685507. The next prime is 8005685581. The reversal of 8005685520 is 255865008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24780 + ... + 128939.

It is an arithmetic number, because the mean of its divisors is an integer number (182988288).

Almost surely, 2^8005685520 is an apocalyptic number.

8005685520 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 8005685520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639063040).

8005685520 is an abundant number, since it is smaller than the sum of its proper divisors (21272440560).

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

8005685520 is a wasteful number, since it uses less digits than its factorization.

8005685520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153773 (or 153767 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 8005685520 is about 89474.4964780467. The cubic root of 8005685520 is about 2000.4736811376.

The spelling of 8005685520 in words is "eight billion, five million, six hundred eighty-five thousand, five hundred twenty".