8557585408 has 132 divisors (see below), whose sum is σ = 18685179760. Its totient is φ = 3906330624.

The previous prime is 8557585403. The next prime is 8557585417. The reversal of 8557585408 is 8045857558.

It is not an unprimeable number, because it can be changed into a prime (8557585403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16362235 + ... + 16362757.

Almost surely, 2^8557585408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8557585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9342589880).

8557585408 is an abundant number, since it is smaller than the sum of its proper divisors (10127594352).

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

8557585408 is a wasteful number, since it uses less digits than its factorization.

8557585408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 8960000, while the sum is 55.

The square root of 8557585408 is about 92507.2181399916. The cubic root of 8557585408 is about 2045.4258838063.

The spelling of 8557585408 in words is "eight billion, five hundred fifty-seven million, five hundred eighty-five thousand, four hundred eight".