5806540080 has 600 divisors, whose sum is σ = 23196484080. Its totient is φ = 1333463040.

The previous prime is 5806540079. The next prime is 5806540081. The reversal of 5806540080 is 800456085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5806540079) and next prime (5806540081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5806540081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 109557334 + ... + 109557386.

Almost surely, 2^5806540080 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 5806540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598242040).

5806540080 is an abundant number, since it is smaller than the sum of its proper divisors (17389944000).

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

5806540080 is a wasteful number, since it uses less digits than its factorization.

5806540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5806540080 is about 76200.6566900837. The cubic root of 5806540080 is about 1797.3768457803.

The spelling of 5806540080 in words is "five billion, eight hundred six million, five hundred forty thousand, eighty".