53585568 has 72 divisors (see below), whose sum is σ = 155963808. Its totient is φ = 17442432.

The previous prime is 53585563. The next prime is 53585641. The reversal of 53585568 is 86558535.

53585568 is a `hidden beast` number, since 5 + 3 + 5 + 85 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (53585563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10221 + ... + 14547.

It is an arithmetic number, because the mean of its divisors is an integer number (2166164).

Almost surely, 2^53585568 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 53585568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77981904).

53585568 is an abundant number, since it is smaller than the sum of its proper divisors (102378240).

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

53585568 is a wasteful number, since it uses less digits than its factorization.

53585568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4375 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 53585568 is about 7320.2163902442. The cubic root of 53585568 is about 377.0068832924.

The spelling of 53585568 in words is "fifty-three million, five hundred eighty-five thousand, five hundred sixty-eight".