5809920721920 has 880 divisors, whose sum is σ = 23916815239680. Its totient is φ = 1321110798336.

The previous prime is 5809920721919. The next prime is 5809920721921. The reversal of 5809920721920 is 291270299085.

5809920721920 is a `hidden beast` number, since 580 + 9 + 9 + 20 + 7 + 2 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5809920721919) and next prime (5809920721921).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5809920721921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 571893801 + ... + 571903959.

It is an arithmetic number, because the mean of its divisors is an integer number (27178199136).

Almost surely, 2^{5809920721920} 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 5809920721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958407619840).

5809920721920 is an abundant number, since it is smaller than the sum of its proper divisors (18106894517760).

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

5809920721920 is a wasteful number, since it uses less digits than its factorization.

5809920721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 5809920721920 in words is "five trillion, eight hundred nine billion, nine hundred twenty million, seven hundred twenty-one thousand, nine hundred twenty".