5806105920 has 196 divisors, whose sum is σ = 20730034740. Its totient is φ = 1548232704.

The previous prime is 5806105919. The next prime is 5806105967. The reversal of 5806105920 is 295016085.

It is a happy number.

5806105920 is a `hidden beast` number, since 5 + 8 + 0 + 61 + 0 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 694427904 + 5111678016 = 26352^2 + 71496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 220836 + ... + 245724.

Almost surely, 2^5806105920 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 5806105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10365017370).

5806105920 is an abundant number, since it is smaller than the sum of its proper divisors (14923928820).

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

5806105920 is an equidigital number, since it uses as much as digits as its factorization.

5806105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24924 (or 24899 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5806105920 is about 76197.8078424832. The cubic root of 5806105920 is about 1797.3320475257.

The spelling of 5806105920 in words is "five billion, eight hundred six million, one hundred five thousand, nine hundred twenty".