30006030060 has 144 divisors (see below), whose sum is σ = 95923027200. Its totient is φ = 7571428992.

The previous prime is 30006030053. The next prime is 30006030121. The reversal of 30006030060 is 6003060003.

30006030060 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 603 + 0 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3138207 + ... + 3147753.

Almost surely, 2^30006030060 is an apocalyptic number.

30006030060 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 30006030060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47961513600).

30006030060 is an abundant number, since it is smaller than the sum of its proper divisors (65916997140).

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

30006030060 is a wasteful number, since it uses less digits than its factorization.

30006030060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500 (or 10495 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30006030060 its reverse (6003060003), we get a palindrome (36009090063).

The spelling of 30006030060 in words is "thirty billion, six million, thirty thousand, sixty", and thus it is an eban number.