53385200 has 90 divisors (see below), whose sum is σ = 141105552. Its totient is φ = 19395200.

The previous prime is 53385197. The next prime is 53385217. The reversal of 53385200 is 258335.

It is a self number, because there is not a number n which added to its sum of digits gives 53385200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47849 + ... + 48951.

Almost surely, 2^53385200 is an apocalyptic number.

53385200 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 53385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70552776).

53385200 is an abundant number, since it is smaller than the sum of its proper divisors (87720352).

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

53385200 is a wasteful number, since it uses less digits than its factorization.

53385200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 53385200 is about 7306.5176383829. The cubic root of 53385200 is about 376.5363930237.

The spelling of 53385200 in words is "fifty-three million, three hundred eighty-five thousand, two hundred".