6085009080 has 96 divisors (see below), whose sum is σ = 19814848560. Its totient is φ = 1619504640.

The previous prime is 6085009079. The next prime is 6085009169. The reversal of 6085009080 is 809005806.

6085009080 is a `hidden beast` number, since 60 + 8 + 500 + 90 + 8 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171339 + ... + 203781.

Almost surely, 2^6085009080 is an apocalyptic number.

6085009080 is a gapful number since it is divisible by the number (60) 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 6085009080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907424280).

6085009080 is an abundant number, since it is smaller than the sum of its proper divisors (13729839480).

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

6085009080 is a wasteful number, since it uses less digits than its factorization.

6085009080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32981 (or 32974 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6085009080 is about 78006.4681933492. The cubic root of 6085009080 is about 1825.6621434199.

The spelling of 6085009080 in words is "six billion, eighty-five million, nine thousand, eighty".