53359200 has 108 divisors (see below), whose sum is σ = 188183268. Its totient is φ = 14227200.

The previous prime is 53359199. The next prime is 53359219. The reversal of 53359200 is 295335.

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 17 ways as a sum of consecutive naturals, for example, 3495 + ... + 10905.

Almost surely, 2^53359200 is an apocalyptic number.

53359200 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 53359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94091634).

53359200 is an abundant number, since it is smaller than the sum of its proper divisors (134824068).

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

53359200 is a wasteful number, since it uses less digits than its factorization.

53359200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7421 counting only the distinct ones).

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

The square root of 53359200 is about 7304.7381883268. The cubic root of 53359200 is about 376.4752553803.

It can be divided in two parts, 5335 and 9200, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 53359200 in words is "fifty-three million, three hundred fifty-nine thousand, two hundred".