30066028800 has 216 divisors, whose sum is σ = 99561065184. Its totient is φ = 7990394880.

The previous prime is 30066028787. The next prime is 30066028829. The reversal of 30066028800 is 882066003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6007099 + ... + 6012101.

Almost surely, 2^30066028800 is an apocalyptic number.

30066028800 is a gapful number since it is divisible by the number (30) 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 30066028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49780532592).

30066028800 is an abundant number, since it is smaller than the sum of its proper divisors (69495036384).

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

30066028800 is a wasteful number, since it uses less digits than its factorization.

30066028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 30066028800 in words is "thirty billion, sixty-six million, twenty-eight thousand, eight hundred".