53578560 has 336 divisors, whose sum is σ = 212652864. Its totient is φ = 11354112.

The previous prime is 53578529. The next prime is 53578673. The reversal of 53578560 is 6587535.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799647 + ... + 799713.

Almost surely, 2^53578560 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 53578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106326432).

53578560 is an abundant number, since it is smaller than the sum of its proper divisors (159074304).

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

53578560 is a wasteful number, since it uses less digits than its factorization.

53578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 53578560 is about 7319.7377002185. The cubic root of 53578560 is about 376.9904474029.

Subtracting from 53578560 its reverse (6587535), we obtain a square (46991025 = 6855²).

The spelling of 53578560 in words is "fifty-three million, five hundred seventy-eight thousand, five hundred sixty".