5235507200 has 384 divisors, whose sum is σ = 16382701440. Its totient is φ = 1612185600.

The previous prime is 5235507191. The next prime is 5235507203. The reversal of 5235507200 is 27055325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235507203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63078359 + ... + 63078441.

It is an arithmetic number, because the mean of its divisors is an integer number (42663285).

Almost surely, 2^5235507200 is an apocalyptic number.

5235507200 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 5235507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191350720).

5235507200 is an abundant number, since it is smaller than the sum of its proper divisors (11147194240).

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

5235507200 is an equidigital number, since it uses as much as digits as its factorization.

5235507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 5235507200 is about 72356.8047940206. The cubic root of 5235507200 is about 1736.4125673223.

The spelling of 5235507200 in words is "five billion, two hundred thirty-five million, five hundred seven thousand, two hundred".