30561645120 has 336 divisors, whose sum is σ = 101381137344. Its totient is φ = 7799500800.

The previous prime is 30561645113. The next prime is 30561645193. The reversal of 30561645120 is 2154616503.

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 47 ways as a sum of consecutive naturals, for example, 144841815 + ... + 144842025.

Almost surely, 2^30561645120 is an apocalyptic number.

30561645120 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 30561645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50690568672).

30561645120 is an abundant number, since it is smaller than the sum of its proper divisors (70819492224).

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

30561645120 is a wasteful number, since it uses less digits than its factorization.

30561645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 30561645120 in words is "thirty billion, five hundred sixty-one million, six hundred forty-five thousand, one hundred twenty".