30561444432552 has 128 divisors (see below), whose sum is σ = 83911063743360. Its totient is φ = 9198679326720.

The previous prime is 30561444432527. The next prime is 30561444432587. The reversal of 30561444432552 is 25523444416503.

It is a super-3 number, since 3×30561444432552³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113972428 + ... + 114240260.

It is an arithmetic number, because the mean of its divisors is an integer number (655555185495).

Almost surely, 2^{30561444432552} 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 30561444432552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41955531871680).

30561444432552 is an abundant number, since it is smaller than the sum of its proper divisors (53349619310808).

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

30561444432552 is a wasteful number, since it uses less digits than its factorization.

30561444432552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270763 (or 270759 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

The spelling of 30561444432552 in words is "thirty trillion, five hundred sixty-one billion, four hundred forty-four million, four hundred thirty-two thousand, five hundred fifty-two".