5805981616590 has 320 divisors, whose sum is σ = 16742428876800. Its totient is φ = 1439909602560.

The previous prime is 5805981616537. The next prime is 5805981616597. The reversal of 5805981616590 is 956161895085.

5805981616590 is a `hidden beast` number, since 5 + 8 + 0 + 5 + 9 + 8 + 1 + 616 + 5 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5805981616597) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1653652935 + ... + 1653656445.

It is an arithmetic number, because the mean of its divisors is an integer number (52320090240).

Almost surely, 2^{5805981616590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5805981616590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371214438400).

5805981616590 is an abundant number, since it is smaller than the sum of its proper divisors (10936447260210).

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

5805981616590 is a wasteful number, since it uses less digits than its factorization.

5805981616590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5989 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 63.

The spelling of 5805981616590 in words is "five trillion, eight hundred five billion, nine hundred eighty-one million, six hundred sixteen thousand, five hundred ninety".