8557608960 has 480 divisors, whose sum is σ = 31424863680. Its totient is φ = 2208301056.

The previous prime is 8557608959. The next prime is 8557608967. The reversal of 8557608960 is 698067558.

8557608960 is a `hidden beast` number, since 8 + 5 + 576 + 0 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8557608960² (a number of 21 digits) contains 22 as substring.

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 = 8557608897 and 8557608906.

It is not an unprimeable number, because it can be changed into a prime (8557608967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117227484 + ... + 117227556.

It is an arithmetic number, because the mean of its divisors is an integer number (65468466).

Almost surely, 2^8557608960 is an apocalyptic number.

8557608960 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 8557608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712431840).

8557608960 is an abundant number, since it is smaller than the sum of its proper divisors (22867254720).

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

8557608960 is an equidigital number, since it uses as much as digits as its factorization.

8557608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 8557608960 is about 92507.3454380786. The cubic root of 8557608960 is about 2045.4277602634.

The spelling of 8557608960 in words is "eight billion, five hundred fifty-seven million, six hundred eight thousand, nine hundred sixty".