6085985760 has 384 divisors, whose sum is σ = 22861440000. Its totient is φ = 1507424256.

The previous prime is 6085985743. The next prime is 6085985761. The reversal of 6085985760 is 675895806.

6085985760 is a `hidden beast` number, since 60 + 8 + 5 + 9 + 8 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6085985697 and 6085985706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6085985761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4349541 + ... + 4350939.

It is an arithmetic number, because the mean of its divisors is an integer number (59535000).

Almost surely, 2^6085985760 is an apocalyptic number.

6085985760 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 6085985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720000).

6085985760 is an abundant number, since it is smaller than the sum of its proper divisors (16775454240).

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

6085985760 is a wasteful number, since it uses less digits than its factorization.

6085985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 6085985760 is about 78012.7281922636. The cubic root of 6085985760 is about 1825.7598147238.

The spelling of 6085985760 in words is "six billion, eighty-five million, nine hundred eighty-five thousand, seven hundred sixty".