57095200 has 144 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 20894720.

The previous prime is 57095179. The next prime is 57095201. The reversal of 57095200 is 259075.

It is not an unprimeable number, because it can be changed into a prime (57095201) 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, 533547 + ... + 533653.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^57095200 is an apocalyptic number.

57095200 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 57095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

57095200 is an abundant number, since it is smaller than the sum of its proper divisors (94770080).

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

57095200 is a wasteful number, since it uses less digits than its factorization.

57095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 57095200 is about 7556.1365789668. The cubic root of 57095200 is about 385.0642496922.

The spelling of 57095200 in words is "fifty-seven million, ninety-five thousand, two hundred".