8529960960 has 336 divisors, whose sum is σ = 30699644976. Its totient is φ = 2272002048.

The previous prime is 8529960937. The next prime is 8529960979. The reversal of 8529960960 is 690699258.

8529960960 is a `hidden beast` number, since 8 + 5 + 29 + 9 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8529960897 and 8529960906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9952852 + ... + 9953708.

It is an arithmetic number, because the mean of its divisors is an integer number (91367991).

Almost surely, 2^8529960960 is an apocalyptic number.

8529960960 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 8529960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349822488).

8529960960 is an abundant number, since it is smaller than the sum of its proper divisors (22169684016).

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

8529960960 is an frugal number, since it uses more digits than its factorization.

8529960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 8529960960 is about 92357.7877604266. The cubic root of 8529960960 is about 2043.2225882572. Note that the first 3 decimals are identical.

The spelling of 8529960960 in words is "eight billion, five hundred twenty-nine million, nine hundred sixty thousand, nine hundred sixty".