57005760 has 224 divisors, whose sum is σ = 219456000. Its totient is φ = 12238848.

The previous prime is 57005747. The next prime is 57005791. The reversal of 57005760 is 6750075.

57005760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113991 + ... + 114489.

Almost surely, 2^57005760 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 57005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728000).

57005760 is an abundant number, since it is smaller than the sum of its proper divisors (162450240).

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

57005760 is a wasteful number, since it uses less digits than its factorization.

57005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 57005760 is about 7550.2158909531. The cubic root of 57005760 is about 384.8630760633.

The spelling of 57005760 in words is "fifty-seven million, five thousand, seven hundred sixty".