30331785901872 has 1280 divisors, whose sum is σ = 103406572666880. Its totient is φ = 7493774745600.

The previous prime is 30331785901843. The next prime is 30331785901919. The reversal of 30331785901872 is 27810958713303.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111925409097 + ... + 111925409367.

It is an arithmetic number, because the mean of its divisors is an integer number (80786384896).

Almost surely, 2^{30331785901872} 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 30331785901872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51703286333440).

30331785901872 is an abundant number, since it is smaller than the sum of its proper divisors (73074786765008).

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

30331785901872 is a wasteful number, since it uses less digits than its factorization.

30331785901872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 30331785901872 in words is "thirty trillion, three hundred thirty-one billion, seven hundred eighty-five million, nine hundred one thousand, eight hundred seventy-two".