5333222400 has 528 divisors, whose sum is σ = 19737665280. Its totient is φ = 1259110400.

The previous prime is 5333222357. The next prime is 5333222417. The reversal of 5333222400 is 42223335.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×5333222400² = 56886522335723520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49843147 + ... + 49843253.

Almost surely, 2^5333222400 is an apocalyptic number.

5333222400 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 5333222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9868832640).

5333222400 is an abundant number, since it is smaller than the sum of its proper divisors (14404442880).

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

5333222400 is a wasteful number, since it uses less digits than its factorization.

5333222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 5333222400 is about 73028.9148214596. The cubic root of 5333222400 is about 1747.1488157395.

Adding to 5333222400 its reverse (42223335), we get a palindrome (5375445735).

The spelling of 5333222400 in words is "five billion, three hundred thirty-three million, two hundred twenty-two thousand, four hundred".