30989712960 has 252 divisors, whose sum is σ = 110150896284. Its totient is φ = 7996631040.

The previous prime is 30989712959. The next prime is 30989712977. The reversal of 30989712960 is 6921798903.

It can be written as a sum of positive squares in 2 ways, for example, as 9069133824 + 21920579136 = 95232^2 + 148056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30989712897 and 30989712906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2762082 + ... + 2773278.

Almost surely, 2^30989712960 is an apocalyptic number.

30989712960 is a gapful number since it is divisible by the number (30) 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 30989712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55075448142).

30989712960 is an abundant number, since it is smaller than the sum of its proper divisors (79161183324).

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

30989712960 is a wasteful number, since it uses less digits than its factorization.

30989712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282 (or 11238 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 30989712960 in words is "thirty billion, nine hundred eighty-nine million, seven hundred twelve thousand, nine hundred sixty".