30006168816 has 160 divisors (see below), whose sum is σ = 86724449280. Its totient is φ = 8880076800.

The previous prime is 30006168793. The next prime is 30006168901. The reversal of 30006168816 is 61886160003.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808205 + ... + 1824723.

It is an arithmetic number, because the mean of its divisors is an integer number (542027808).

Almost surely, 2^30006168816 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 30006168816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43362224640).

30006168816 is an abundant number, since it is smaller than the sum of its proper divisors (56718280464).

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

30006168816 is a wasteful number, since it uses less digits than its factorization.

30006168816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16655 (or 16649 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 30006168816 in words is "thirty billion, six million, one hundred sixty-eight thousand, eight hundred sixteen".