57425760 has 288 divisors, whose sum is σ = 233356032. Its totient is φ = 13063680.

The previous prime is 57425749. The next prime is 57425761. The reversal of 57425760 is 6752475.

57425760 is a `hidden beast` number, since 574 + 25 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57425761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272055 + ... + 272265.

It is an arithmetic number, because the mean of its divisors is an integer number (810264).

Almost surely, 2^57425760 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 57425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116678016).

57425760 is an abundant number, since it is smaller than the sum of its proper divisors (175930272).

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

57425760 is a wasteful number, since it uses less digits than its factorization.

57425760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57425760 is about 7577.9786222976. The cubic root of 57425760 is about 385.8059464701.

It can be divided in two parts, 57425 and 760, that added together give a palindrome (58185).

The spelling of 57425760 in words is "fifty-seven million, four hundred twenty-five thousand, seven hundred sixty".