30085953282 has 320 divisors, whose sum is σ = 87614005248. Its totient is φ = 7550690400.

The previous prime is 30085953281. The next prime is 30085953307. The reversal of 30085953282 is 28235958003.

30085953282 is a `hidden beast` number, since 30 + 0 + 8 + 5 + 9 + 532 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (30085953281) 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 159 ways as a sum of consecutive naturals, for example, 46789653 + ... + 46790295.

Almost surely, 2^30085953282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30085953282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43807002624).

30085953282 is an abundant number, since it is smaller than the sum of its proper divisors (57528051966).

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

30085953282 is a wasteful number, since it uses less digits than its factorization.

30085953282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 30085953282 in words is "thirty billion, eighty-five million, nine hundred fifty-three thousand, two hundred eighty-two".