53288160 has 96 divisors (see below), whose sum is σ = 176722560. Its totient is φ = 13459968.

The previous prime is 53288153. The next prime is 53288173. The reversal of 53288160 is 6188235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6199 + ... + 12041.

It is an arithmetic number, because the mean of its divisors is an integer number (1840860).

Almost surely, 2^53288160 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 53288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88361280).

53288160 is an abundant number, since it is smaller than the sum of its proper divisors (123434400).

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

53288160 is a wasteful number, since it uses less digits than its factorization.

53288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 53288160 is about 7299.8739715149. The cubic root of 53288160 is about 376.3081071980.

The spelling of 53288160 in words is "fifty-three million, two hundred eighty-eight thousand, one hundred sixty".