55385568 has 144 divisors (see below), whose sum is σ = 182722176. Its totient is φ = 15586560.

The previous prime is 55385543. The next prime is 55385569. The reversal of 55385568 is 86558355.

55385568 is a `hidden beast` number, since 5 + 5 + 3 + 85 + 568 = 666.

55385568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×55385568² = 6135122285365248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55385569) 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 23 ways as a sum of consecutive naturals, for example, 167163 + ... + 167493.

It is an arithmetic number, because the mean of its divisors is an integer number (1268904).

Almost surely, 2^55385568 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 55385568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91361088).

55385568 is an abundant number, since it is smaller than the sum of its proper divisors (127336608).

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

55385568 is a wasteful number, since it uses less digits than its factorization.

55385568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

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

The square root of 55385568 is about 7442.1480770003. The cubic root of 55385568 is about 381.1818422278.

The spelling of 55385568 in words is "fifty-five million, three hundred eighty-five thousand, five hundred sixty-eight".