8525608560 has 640 divisors, whose sum is σ = 35997696000. Its totient is φ = 1811248128.

The previous prime is 8525608517. The next prime is 8525608571. The reversal of 8525608560 is 658065258.

8525608560 is a `hidden beast` number, since 8 + 5 + 2 + 560 + 85 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16949269 + ... + 16949771.

It is an arithmetic number, because the mean of its divisors is an integer number (56246400).

Almost surely, 2^8525608560 is an apocalyptic number.

8525608560 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 8525608560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848000).

8525608560 is an abundant number, since it is smaller than the sum of its proper divisors (27472087440).

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

8525608560 is a wasteful number, since it uses less digits than its factorization.

8525608560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 8525608560 is about 92334.2220414511. Note that the first 3 decimals coincide. The cubic root of 8525608560 is about 2042.8750120296.

The spelling of 8525608560 in words is "eight billion, five hundred twenty-five million, six hundred eight thousand, five hundred sixty".