57059520 has 168 divisors, whose sum is σ = 210915504. Its totient is φ = 13031424.

The previous prime is 57059491. The next prime is 57059521. The reversal of 57059520 is 2595075.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (57059521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46434 + ... + 47646.

Almost surely, 2^57059520 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 57059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105457752).

57059520 is an abundant number, since it is smaller than the sum of its proper divisors (153855984).

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

57059520 is a wasteful number, since it uses less digits than its factorization.

57059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 57059520 is about 7553.7752150829. The cubic root of 57059520 is about 384.9840213754.

It can be divided in two parts, 5705 and 9520, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 57059520 in words is "fifty-seven million, fifty-nine thousand, five hundred twenty".