53119968 has 144 divisors (see below), whose sum is σ = 162887760. Its totient is φ = 15093760.

The previous prime is 53119961. The next prime is 53119981. The reversal of 53119968 is 86991135.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53119961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197338 + ... + 197606.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 2^53119968 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 53119968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81443880).

53119968 is an abundant number, since it is smaller than the sum of its proper divisors (109767792).

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

53119968 is a wasteful number, since it uses less digits than its factorization.

53119968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 53119968 is about 7288.3446680299. The cubic root of 53119968 is about 375.9117795138.

It can be divided in two parts, 53 and 119968, that added together give a palindrome (120021).

The spelling of 53119968 in words is "fifty-three million, one hundred nineteen thousand, nine hundred sixty-eight".