30009069216 has 324 divisors, whose sum is σ = 103119292458. Its totient is φ = 8571080448.

The previous prime is 30009069203. The next prime is 30009069241. The reversal of 30009069216 is 61296090003.

It can be written as a sum of positive squares in only one way, i.e., 15560067600 + 14449001616 = 124740^2 + 120204^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10286190 + ... + 10289106.

Almost surely, 2^30009069216 is an apocalyptic number.

30009069216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30009069216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559646229).

30009069216 is an abundant number, since it is smaller than the sum of its proper divisors (73110223242).

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

30009069216 is an frugal number, since it uses more digits than its factorization.

30009069216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 30009069216 in words is "thirty billion, nine million, sixty-nine thousand, two hundred sixteen".