5332800528384 has 224 divisors, whose sum is σ = 16261276144896. Its totient is φ = 1522726993920.

The previous prime is 5332800528373. The next prime is 5332800528389. The reversal of 5332800528384 is 4838250082335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×5332800528384² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5332800528389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 311541394 + ... + 311558510.

Almost surely, 2^{5332800528384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5332800528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130638072448).

5332800528384 is an abundant number, since it is smaller than the sum of its proper divisors (10928475616512).

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

5332800528384 is a wasteful number, since it uses less digits than its factorization.

5332800528384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18964 (or 18940 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 5332800528384 in words is "five trillion, three hundred thirty-two billion, eight hundred million, five hundred twenty-eight thousand, three hundred eighty-four".