5632228403200 has 864 divisors, whose sum is σ = 16921504454400. Its totient is φ = 1851752448000.

The previous prime is 5632228403119. The next prime is 5632228403209. The reversal of 5632228403200 is 23048222365.

It is a self number, because there is not a number n which added to its sum of digits gives 5632228403200.

It is not an unprimeable number, because it can be changed into a prime (5632228403209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10810418940 + ... + 10810419460.

It is an arithmetic number, because the mean of its divisors is an integer number (19585074600).

Almost surely, 2^{5632228403200} is an apocalyptic number.

5632228403200 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 5632228403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460752227200).

5632228403200 is an abundant number, since it is smaller than the sum of its proper divisors (11289276051200).

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

5632228403200 is a wasteful number, since it uses less digits than its factorization.

5632228403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 5632228403200 in words is "five trillion, six hundred thirty-two billion, two hundred twenty-eight million, four hundred three thousand, two hundred".