30520680960 has 960 divisors, whose sum is σ = 126757851264. Its totient is φ = 6193152000.

The previous prime is 30520680959. The next prime is 30520680961. The reversal of 30520680960 is 6908602503.

It is an interprime number because it is at equal distance from previous prime (30520680959) and next prime (30520680961).

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (30520680961) 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 95 ways as a sum of consecutive naturals, for example, 302184910 + ... + 302185010.

Almost surely, 2^30520680960 is an apocalyptic number.

30520680960 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 30520680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63378925632).

30520680960 is an abundant number, since it is smaller than the sum of its proper divisors (96237170304).

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

30520680960 is a wasteful number, since it uses less digits than its factorization.

30520680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 30520680960 in words is "thirty billion, five hundred twenty million, six hundred eighty thousand, nine hundred sixty".