53518080 has 288 divisors, whose sum is σ = 214276608. Its totient is φ = 11059200.

The previous prime is 53518063. The next prime is 53518081. The reversal of 53518080 is 8081535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53518081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295590 + ... + 295770.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 2^53518080 is an apocalyptic number.

53518080 is the 4224-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

53518080 is an abundant number, since it is smaller than the sum of its proper divisors (160758528).

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

53518080 is a wasteful number, since it uses less digits than its factorization.

53518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 53518080 is about 7315.6052381194. The cubic root of 53518080 is about 376.8485438334.

It can be divided in two parts, 5351 and 8080, that added together give a palindrome (13431).

The spelling of 53518080 in words is "fifty-three million, five hundred eighteen thousand, eighty".