53575760 has 80 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 17730048.

The previous prime is 53575757. The next prime is 53575777. The reversal of 53575760 is 6757535.

It is a tau number, because it is divible by the number of its divisors (80).

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, 14591 + ... + 17889.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 2^53575760 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 53575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

53575760 is an abundant number, since it is smaller than the sum of its proper divisors (93736240).

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

53575760 is a wasteful number, since it uses less digits than its factorization.

53575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 38.

The square root of 53575760 is about 7319.5464340354. The cubic root of 53575760 is about 376.9838801514.

The spelling of 53575760 in words is "fifty-three million, five hundred seventy-five thousand, seven hundred sixty".