5358963200 has 240 divisors, whose sum is σ = 14065349760. Its totient is φ = 2019409920.

The previous prime is 5358963199. The next prime is 5358963241. The reversal of 5358963200 is 23698535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32089517 + ... + 32089683.

It is an arithmetic number, because the mean of its divisors is an integer number (58605624).

Almost surely, 2^5358963200 is an apocalyptic number.

5358963200 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 5358963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032674880).

5358963200 is an abundant number, since it is smaller than the sum of its proper divisors (8706386560).

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

5358963200 is a wasteful number, since it uses less digits than its factorization.

5358963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 5358963200 is about 73204.9397240377. The cubic root of 5358963200 is about 1749.9551770832.

The spelling of 5358963200 in words is "five billion, three hundred fifty-eight million, nine hundred sixty-three thousand, two hundred".