8505066960 has 480 divisors, whose sum is σ = 33133950720. Its totient is φ = 2000553984.

The previous prime is 8505066953. The next prime is 8505066961. The reversal of 8505066960 is 696605058.

8505066960 is a `hidden beast` number, since 8 + 50 + 506 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505066961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8395414 + ... + 8396426.

It is an arithmetic number, because the mean of its divisors is an integer number (69029064).

Almost surely, 2^8505066960 is an apocalyptic number.

8505066960 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 8505066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566975360).

8505066960 is an abundant number, since it is smaller than the sum of its proper divisors (24628883760).

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

8505066960 is a wasteful number, since it uses less digits than its factorization.

8505066960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 8505066960 is about 92222.9199277490. The cubic root of 8505066960 is about 2041.2329916445.

The spelling of 8505066960 in words is "eight billion, five hundred five million, sixty-six thousand, nine hundred sixty".