5358387200 has 192 divisors, whose sum is σ = 13782272640. Its totient is φ = 2064384000.

The previous prime is 5358387191. The next prime is 5358387247. The reversal of 5358387200 is 27838535.

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 11 ways as a sum of consecutive naturals, for example, 25395095 + ... + 25395305.

It is an arithmetic number, because the mean of its divisors is an integer number (71782670).

Almost surely, 2^5358387200 is an apocalyptic number.

5358387200 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 5358387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891136320).

5358387200 is an abundant number, since it is smaller than the sum of its proper divisors (8423885440).

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

5358387200 is an equidigital number, since it uses as much as digits as its factorization.

5358387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 5358387200 is about 73201.0054575755. The cubic root of 5358387200 is about 1749.8924777476.

The spelling of 5358387200 in words is "five billion, three hundred fifty-eight million, three hundred eighty-seven thousand, two hundred".