5820839508960 has 1440 divisors, whose sum is σ = 24362301791520. Its totient is φ = 1304779456512.

The previous prime is 5820839508947. The next prime is 5820839509013. The reversal of 5820839508960 is 698059380285.

5820839508960 is a `hidden beast` number, since 5 + 8 + 2 + 0 + 8 + 39 + 508 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 14231881236 + ... + 14231881644.

It is an arithmetic number, because the mean of its divisors is an integer number (16918265133).

Almost surely, 2^{5820839508960} 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 5820839508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181150895760).

5820839508960 is an abundant number, since it is smaller than the sum of its proper divisors (18541462282560).

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

5820839508960 is a wasteful number, since it uses less digits than its factorization.

5820839508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 5820839508960 in words is "five trillion, eight hundred twenty billion, eight hundred thirty-nine million, five hundred eight thousand, nine hundred sixty".