30509931168 has 144 divisors (see below), whose sum is σ = 92650521600. Its totient is φ = 9502456320.

The previous prime is 30509931113. The next prime is 30509931191. The reversal of 30509931168 is 86113990503.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199993 + ... + 317831.

It is an arithmetic number, because the mean of its divisors is an integer number (643406400).

Almost surely, 2^30509931168 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 30509931168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46325260800).

30509931168 is an abundant number, since it is smaller than the sum of its proper divisors (62140590432).

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

30509931168 is a wasteful number, since it uses less digits than its factorization.

30509931168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117915 (or 117904 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 30509931168 in words is "thirty billion, five hundred nine million, nine hundred thirty-one thousand, one hundred sixty-eight".