30427985432208 has 320 divisors, whose sum is σ = 99880007270400. Its totient is φ = 7765020426240.

The previous prime is 30427985432203. The next prime is 30427985432227. The reversal of 30427985432208 is 80223458972403.

It is not an unprimeable number, because it can be changed into a prime (30427985432203) 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, 1555692733 + ... + 1555712291.

It is an arithmetic number, because the mean of its divisors is an integer number (312125022720).

Almost surely, 2^{30427985432208} 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 30427985432208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49940003635200).

30427985432208 is an abundant number, since it is smaller than the sum of its proper divisors (69452021838192).

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

30427985432208 is a wasteful number, since it uses less digits than its factorization.

30427985432208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31110 (or 31104 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 30427985432208 in words is "thirty trillion, four hundred twenty-seven billion, nine hundred eighty-five million, four hundred thirty-two thousand, two hundred eight".