55965168 has 200 divisors, whose sum is σ = 192051200. Its totient is φ = 15396480.

The previous prime is 55965131. The next prime is 55965197. The reversal of 55965168 is 86156955.

It is a happy number.

55965168 is a `hidden beast` number, since 5 + 596 + 51 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281133 + ... + 281331.

It is an arithmetic number, because the mean of its divisors is an integer number (960256).

Almost surely, 2^55965168 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 55965168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96025600).

55965168 is an abundant number, since it is smaller than the sum of its proper divisors (136086032).

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

55965168 is a wasteful number, since it uses less digits than its factorization.

55965168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 55965168 is about 7480.9871006439. The cubic root of 55965168 is about 382.5068972228.

The spelling of 55965168 in words is "fifty-five million, nine hundred sixty-five thousand, one hundred sixty-eight".