5200084027584 has 168 divisors, whose sum is σ = 15254240418560. Its totient is φ = 1692772204032.

The previous prime is 5200084027583. The next prime is 5200084027591. The reversal of 5200084027584 is 4857204800025.

5200084027584 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 0 + 8 + 40 + 27 + 584 = 666.

It is not an unprimeable number, because it can be changed into a prime (5200084027583) 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 23 ways as a sum of consecutive naturals, for example, 195133749 + ... + 195160395.

Almost surely, 2^{5200084027584} 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 5200084027584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627120209280).

5200084027584 is an abundant number, since it is smaller than the sum of its proper divisors (10054156390976).

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

5200084027584 is a wasteful number, since it uses less digits than its factorization.

5200084027584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34587 (or 34574 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 5200084027584 in words is "five trillion, two hundred billion, eighty-four million, twenty-seven thousand, five hundred eighty-four".