53395200 has 270 divisors, whose sum is σ = 199343144. Its totient is φ = 14100480.

The previous prime is 53395189. The next prime is 53395211. The reversal of 53395200 is 259335.

53395200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53395189) and next prime (53395211).

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 518349 + ... + 518451.

Almost surely, 2^53395200 is an apocalyptic number.

53395200 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 53395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99671572).

53395200 is an abundant number, since it is smaller than the sum of its proper divisors (145947944).

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

53395200 is a wasteful number, since it uses less digits than its factorization.

53395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 53395200 is about 7307.2019268664. The cubic root of 53395200 is about 376.5599022163.

The spelling of 53395200 in words is "fifty-three million, three hundred ninety-five thousand, two hundred".