5334211584 has 528 divisors, whose sum is σ = 18401187168. Its totient is φ = 1528823808.

The previous prime is 5334211549. The next prime is 5334211613. The reversal of 5334211584 is 4851124335.

5334211584 is a `hidden beast` number, since 5 + 33 + 42 + 1 + 1 + 584 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54991824 + ... + 54991920.

Almost surely, 2^5334211584 is an apocalyptic number.

5334211584 is a gapful number since it is divisible by the number (54) 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 5334211584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200593584).

5334211584 is an abundant number, since it is smaller than the sum of its proper divisors (13066975584).

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

5334211584 is a wasteful number, since it uses less digits than its factorization.

5334211584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5334211584 is about 73035.6870577665. The cubic root of 5334211584 is about 1747.2568270371.

The spelling of 5334211584 in words is "five billion, three hundred thirty-four million, two hundred eleven thousand, five hundred eighty-four".