6085560096 has 432 divisors, whose sum is σ = 22183761600. Its totient is φ = 1564738560.

The previous prime is 6085560077. The next prime is 6085560097. The reversal of 6085560096 is 6900655806.

6085560096 is a `hidden beast` number, since 6 + 0 + 8 + 556 + 0 + 0 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6085560097) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30580605 + ... + 30580803.

It is an arithmetic number, because the mean of its divisors is an integer number (51351300).

Almost surely, 2^6085560096 is an apocalyptic number.

6085560096 is a gapful number since it is divisible by the number (66) 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 6085560096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091880800).

6085560096 is an abundant number, since it is smaller than the sum of its proper divisors (16098201504).

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

6085560096 is a wasteful number, since it uses less digits than its factorization.

6085560096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6085560096 is about 78009.9999743623. Note that the first 4 decimals coincide. The cubic root of 6085560096 is about 1825.7172481686.

The spelling of 6085560096 in words is "six billion, eighty-five million, five hundred sixty thousand, ninety-six".