5790819807360 has 640 divisors, whose sum is σ = 23695692134400. Its totient is φ = 1320181161984.

The previous prime is 5790819807349. The next prime is 5790819807427. The reversal of 5790819807360 is 637089180975.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141139809 + ... + 141180831.

It is an arithmetic number, because the mean of its divisors is an integer number (37024518960).

Almost surely, 2^{5790819807360} 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 5790819807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847846067200).

5790819807360 is an abundant number, since it is smaller than the sum of its proper divisors (17904872327040).

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

5790819807360 is a wasteful number, since it uses less digits than its factorization.

5790819807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41450 (or 41429 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 5790819807360 in words is "five trillion, seven hundred ninety billion, eight hundred nineteen million, eight hundred seven thousand, three hundred sixty".