53755200 has 126 divisors (see below), whose sum is σ = 191109854. Its totient is φ = 14330880.

The previous prime is 53755187. The next prime is 53755201. The reversal of 53755200 is 255735.

It can be written as a sum of positive squares in 3 ways, for example, as 3968064 + 49787136 = 1992^2 + 7056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53755201) 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 17 ways as a sum of consecutive naturals, for example, 12534 + ... + 16266.

Almost surely, 2^53755200 is an apocalyptic number.

53755200 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 53755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95554927).

53755200 is an abundant number, since it is smaller than the sum of its proper divisors (137354654).

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

53755200 is a wasteful number, since it uses less digits than its factorization.

53755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3743 counting only the distinct ones).

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

The square root of 53755200 is about 7331.7937777873. The cubic root of 53755200 is about 377.4042854863.

The spelling of 53755200 in words is "fifty-three million, seven hundred fifty-five thousand, two hundred".