30561412653120 has 448 divisors, whose sum is σ = 101871118218240. Its totient is φ = 7754818756608.

The previous prime is 30561412653089. The next prime is 30561412653179. The reversal of 30561412653120 is 2135621416503.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 330751567 + ... + 330843953.

It is an arithmetic number, because the mean of its divisors is an integer number (227390888880).

Almost surely, 2^{30561412653120} is an apocalyptic number.

30561412653120 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 30561412653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50935559109120).

30561412653120 is an abundant number, since it is smaller than the sum of its proper divisors (71309705565120).

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

30561412653120 is a wasteful number, since it uses less digits than its factorization.

30561412653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92650 (or 92640 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 30561412653120 in words is "thirty trillion, five hundred sixty-one billion, four hundred twelve million, six hundred fifty-three thousand, one hundred twenty".