5806080000 has 750 divisors, whose sum is σ = 24772114136. Its totient is φ = 1327104000.

The previous prime is 5806079963. The next prime is 5806080019. The reversal of 5806080000 is 806085.

5806080000 is a `hidden beast` number, since 58 + 0 + 608 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 829439997 + ... + 829440003.

Almost surely, 2^5806080000 is an apocalyptic number.

5806080000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5806080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386057068).

5806080000 is an abundant number, since it is smaller than the sum of its proper divisors (18966034136).

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

5806080000 is an frugal number, since it uses more digits than its factorization.

5806080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5806080000 is about 76197.6377586602. The cubic root of 5806080000 is about 1797.3293729324.

Adding to 5806080000 its reverse (806085), we get a palindrome (5806886085).

The spelling of 5806080000 in words is "five billion, eight hundred six million, eighty thousand".