57355200 has 252 divisors, whose sum is σ = 233385360. Its totient is φ = 13086720.

The previous prime is 57355159. The next prime is 57355201. The reversal of 57355200 is 255375.

57355200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57355201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100516 + ... + 101084.

Almost surely, 2^57355200 is an apocalyptic number.

57355200 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 57355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116692680).

57355200 is an abundant number, since it is smaller than the sum of its proper divisors (176030160).

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

57355200 is a wasteful number, since it uses less digits than its factorization.

57355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 57355200 is about 7573.3215962350. The cubic root of 57355200 is about 385.6478662823.

The spelling of 57355200 in words is "fifty-seven million, three hundred fifty-five thousand, two hundred".