52059168 has 288 divisors, whose sum is σ = 188697600. Its totient is φ = 13547520.

The previous prime is 52059167. The next prime is 52059179. The reversal of 52059168 is 86195025.

It is a happy number.

52059168 is a `hidden beast` number, since 5 + 2 + 0 + 591 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52059167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679313 + ... + 1679343.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^52059168 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 52059168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

52059168 is an abundant number, since it is smaller than the sum of its proper divisors (136638432).

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

52059168 is a wasteful number, since it uses less digits than its factorization.

52059168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 52059168 is about 7215.2039472215. The cubic root of 52059168 is about 373.3926294704.

The spelling of 52059168 in words is "fifty-two million, fifty-nine thousand, one hundred sixty-eight".