30166873809072 has 640 divisors, whose sum is σ = 105391894487040. Its totient is φ = 7223337538560.

The previous prime is 30166873809053. The next prime is 30166873809131. The reversal of 30166873809072 is 27090837866103.

It is a junction number, because it is equal to n+sod(n) for n = 30166873808997 and 30166873809015.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7689744103 + ... + 7689748025.

It is an arithmetic number, because the mean of its divisors is an integer number (164674835136).

Almost surely, 2^{30166873809072} 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 30166873809072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52695947243520).

30166873809072 is an abundant number, since it is smaller than the sum of its proper divisors (75225020677968).

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

30166873809072 is a wasteful number, since it uses less digits than its factorization.

30166873809072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 30166873809072 in words is "thirty trillion, one hundred sixty-six billion, eight hundred seventy-three million, eight hundred nine thousand, seventy-two".