57541120 has 240 divisors, whose sum is σ = 179720640. Its totient is φ = 17252352.

The previous prime is 57541103. The next prime is 57541129. The reversal of 57541120 is 2114575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57541129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028471 + ... + 3028489.

It is an arithmetic number, because the mean of its divisors is an integer number (748836).

Almost surely, 2^57541120 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 57541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89860320).

57541120 is an abundant number, since it is smaller than the sum of its proper divisors (122179520).

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

57541120 is a wasteful number, since it uses less digits than its factorization.

57541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 57541120 is about 7585.5863319852. The cubic root of 57541120 is about 386.0641163506.

Adding to 57541120 its reverse (2114575), we get a palindrome (59655695).

The spelling of 57541120 in words is "fifty-seven million, five hundred forty-one thousand, one hundred twenty".