30256255466712 has 768 divisors, whose sum is σ = 101736850176000. Its totient is φ = 8070930616320.

The previous prime is 30256255466707. The next prime is 30256255466743. The reversal of 30256255466712 is 21766455265203.

30256255466712 is a `hidden beast` number, since 3 + 0 + 2 + 5 + 6 + 25 + 546 + 6 + 71 + 2 = 666.

It is a super-3 number, since 3×30256255466712³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2445338958 + ... + 2445351330.

It is an arithmetic number, because the mean of its divisors is an integer number (132469857000).

Almost surely, 2^{30256255466712} 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 30256255466712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50868425088000).

30256255466712 is an abundant number, since it is smaller than the sum of its proper divisors (71480594709288).

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

30256255466712 is a wasteful number, since it uses less digits than its factorization.

30256255466712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12504 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 30256255466712 in words is "thirty trillion, two hundred fifty-six billion, two hundred fifty-five million, four hundred sixty-six thousand, seven hundred twelve".