5353873200 has 720 divisors, whose sum is σ = 21939706880. Its totient is φ = 1242915840.

The previous prime is 5353873169. The next prime is 5353873201. The reversal of 5353873200 is 23783535.

5353873200 is a `hidden beast` number, since 53 + 538 + 73 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5353873201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24008289 + ... + 24008511.

Almost surely, 2^5353873200 is an apocalyptic number.

5353873200 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 5353873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10969853440).

5353873200 is an abundant number, since it is smaller than the sum of its proper divisors (16585833680).

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

5353873200 is a wasteful number, since it uses less digits than its factorization.

5353873200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5353873200 is about 73170.1660514721. The cubic root of 5353873200 is about 1749.4009595924.

The spelling of 5353873200 in words is "five billion, three hundred fifty-three million, eight hundred seventy-three thousand, two hundred".