5224768200 has 288 divisors, whose sum is σ = 18578944800. Its totient is φ = 1312174080.

The previous prime is 5224768193. The next prime is 5224768247. The reversal of 5224768200 is 28674225.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7763064 + ... + 7763736.

It is an arithmetic number, because the mean of its divisors is an integer number (64510225).

Almost surely, 2^5224768200 is an apocalyptic number.

5224768200 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 5224768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289472400).

5224768200 is an abundant number, since it is smaller than the sum of its proper divisors (13354176600).

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

5224768200 is a wasteful number, since it uses less digits than its factorization.

5224768200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5224768200 is about 72282.5580620941. The cubic root of 5224768200 is about 1735.2245194971.

The spelling of 5224768200 in words is "five billion, two hundred twenty-four million, seven hundred sixty-eight thousand, two hundred".