5209083089280 has 768 divisors, whose sum is σ = 21135484431360. Its totient is φ = 1157228052480.

The previous prime is 5209083089267. The next prime is 5209083089297. The reversal of 5209083089280 is 829803809025.

5209083089280 is a `hidden beast` number, since 5 + 209 + 0 + 83 + 0 + 89 + 280 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2731558087 + ... + 2731559993.

It is an arithmetic number, because the mean of its divisors is an integer number (27520162020).

Almost surely, 2^{5209083089280} 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 5209083089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10567742215680).

5209083089280 is an abundant number, since it is smaller than the sum of its proper divisors (15926401342080).

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

5209083089280 is a wasteful number, since it uses less digits than its factorization.

5209083089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 5209083089280 in words is "five trillion, two hundred nine billion, eighty-three million, eighty-nine thousand, two hundred eighty".