5221324800 has 360 divisors, whose sum is σ = 19354034700. Its totient is φ = 1391247360.

The previous prime is 5221324793. The next prime is 5221324831. The reversal of 5221324800 is 84231225.

5221324800 is a `hidden beast` number, since 52 + 2 + 132 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4146571 + ... + 4147829.

Almost surely, 2^5221324800 is an apocalyptic number.

5221324800 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 5221324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677017350).

5221324800 is an abundant number, since it is smaller than the sum of its proper divisors (14132709900).

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

5221324800 is a wasteful number, since it uses less digits than its factorization.

5221324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5221324800 is about 72258.7351120956. The cubic root of 5221324800 is about 1734.8432339873.

The spelling of 5221324800 in words is "five billion, two hundred twenty-one million, three hundred twenty-four thousand, eight hundred".