53295200 has 144 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 17625600.

The previous prime is 53295199. The next prime is 53295233. The reversal of 53295200 is 259235.

It is a self number, because there is not a number n which added to its sum of digits gives 53295200.

It is a congruent number.

It is an unprimeable number.

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, 173447 + ... + 173753.

It is an arithmetic number, because the mean of its divisors is an integer number (1069376).

Almost surely, 2^53295200 is an apocalyptic number.

53295200 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 53295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072).

53295200 is an abundant number, since it is smaller than the sum of its proper divisors (100694944).

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

53295200 is a wasteful number, since it uses less digits than its factorization.

53295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 53295200 is about 7300.3561556954. The cubic root of 53295200 is about 376.3246780611.

The spelling of 53295200 in words is "fifty-three million, two hundred ninety-five thousand, two hundred".