5328331171200 has 576 divisors, whose sum is σ = 19822179714480. Its totient is φ = 1361641881600.

The previous prime is 5328331171187. The next prime is 5328331171309. The reversal of 5328331171200 is 21711338235.

It is a happy number.

5328331171200 is a `hidden beast` number, since 5 + 3 + 283 + 3 + 1 + 171 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5328331171200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 65594610 + ... + 65675790.

Almost surely, 2^{5328331171200} is an apocalyptic number.

5328331171200 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 5328331171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9911089857240).

5328331171200 is an abundant number, since it is smaller than the sum of its proper divisors (14493848543280).

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

5328331171200 is a wasteful number, since it uses less digits than its factorization.

5328331171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81307 (or 81287 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 5328331171200 in words is "five trillion, three hundred twenty-eight billion, three hundred thirty-one million, one hundred seventy-one thousand, two hundred".