53595520 has 128 divisors (see below), whose sum is σ = 146292480. Its totient is φ = 18585600.

The previous prime is 53595473. The next prime is 53595571. The reversal of 53595520 is 2559535.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161755 + ... + 162085.

It is an arithmetic number, because the mean of its divisors is an integer number (1142910).

Almost surely, 2^53595520 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 53595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73146240).

53595520 is an abundant number, since it is smaller than the sum of its proper divisors (92696960).

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

53595520 is a wasteful number, since it uses less digits than its factorization.

53595520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 34.

The square root of 53595520 is about 7320.8961200115. The cubic root of 53595520 is about 377.0302212943.

It can be divided in two parts, 5 and 3595520, that multiplied together give a square (17977600 = 4240²).

The spelling of 53595520 in words is "fifty-three million, five hundred ninety-five thousand, five hundred twenty".