30959106304 has 81 divisors (see below), whose sum is σ = 71932417851. Its totient is φ = 13259742720.

The previous prime is 30959106247. The next prime is 30959106307. The reversal of 30959106304 is 40360195903.

The square root of 30959106304 is 175952.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (30959106307) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19705839 + ... + 19707409.

Almost surely, 2^30959106304 is an apocalyptic number.

30959106304 is the 175952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30959106304

30959106304 is an abundant number, since it is smaller than the sum of its proper divisors (40973311547).

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

30959106304 is an frugal number, since it uses more digits than its factorization.

30959106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The spelling of 30959106304 in words is "thirty billion, nine hundred fifty-nine million, one hundred six thousand, three hundred four".