30666809260120 has 256 divisors, whose sum is σ = 76427064000000. Its totient is φ = 10981553356800.

The previous prime is 30666809260091. The next prime is 30666809260123. The reversal of 30666809260120 is 2106290866603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30666809260123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24553089256 + ... + 24553090504.

It is an arithmetic number, because the mean of its divisors is an integer number (298543218750).

Almost surely, 2^{30666809260120} 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 30666809260120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38213532000000).

30666809260120 is an abundant number, since it is smaller than the sum of its proper divisors (45760254739880).

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

30666809260120 is a wasteful number, since it uses less digits than its factorization.

30666809260120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 30666809260120 in words is "thirty trillion, six hundred sixty-six billion, eight hundred nine million, two hundred sixty thousand, one hundred twenty".