57018000 has 320 divisors, whose sum is σ = 214486272. Its totient is φ = 12902400.

The previous prime is 57017963. The next prime is 57018007. The reversal of 57018000 is 81075.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57018007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1325979 + ... + 1326021.

Almost surely, 2^57018000 is an apocalyptic number.

57018000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

57018000 is an abundant number, since it is smaller than the sum of its proper divisors (157468272).

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

57018000 is a wasteful number, since it uses less digits than its factorization.

57018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 57018000 is about 7551.0264202955. The cubic root of 57018000 is about 384.8906194024.

Adding to 57018000 its reverse (81075), we get a palindrome (57099075).

The spelling of 57018000 in words is "fifty-seven million, eighteen thousand".