30085095168 has 504 divisors, whose sum is σ = 96727247232. Its totient is φ = 9311791104.

The previous prime is 30085095167. The next prime is 30085095239. The reversal of 30085095168 is 86159058003.

30085095168 is a `hidden beast` number, since 30 + 0 + 8 + 509 + 51 + 68 = 666.

It is a super-2 number, since 2×30085095168² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30085095167) 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 55 ways as a sum of consecutive naturals, for example, 184571055 + ... + 184571217.

Almost surely, 2^30085095168 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 30085095168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48363623616).

30085095168 is an abundant number, since it is smaller than the sum of its proper divisors (66642152064).

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

30085095168 is an equidigital number, since it uses as much as digits as its factorization.

30085095168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 30085095168 in words is "thirty billion, eighty-five million, ninety-five thousand, one hundred sixty-eight".