30806706058912 has 384 divisors, whose sum is σ = 80095055040000. Its totient is φ = 11341271531520.

The previous prime is 30806706058867. The next prime is 30806706058913. The reversal of 30806706058912 is 21985060760803.

It is not an unprimeable number, because it can be changed into a prime (30806706058913) 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, 967257964 + ... + 967289812.

It is an arithmetic number, because the mean of its divisors is an integer number (208580872500).

Almost surely, 2^{30806706058912} is an apocalyptic number.

30806706058912 is a gapful number since it is divisible by the number (32) 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 30806706058912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40047527520000).

30806706058912 is an abundant number, since it is smaller than the sum of its proper divisors (49288348981088).

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

30806706058912 is a wasteful number, since it uses less digits than its factorization.

30806706058912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32392 (or 32384 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 30806706058912 in words is "thirty trillion, eight hundred six billion, seven hundred six million, fifty-eight thousand, nine hundred twelve".