30136800768000 has 208 divisors, whose sum is σ = 100283034991776. Its totient is φ = 8036479795200.

The previous prime is 30136800767993. The next prime is 30136800768023. The reversal of 30136800768000 is 86700863103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8274157 + ... + 11346156.

It is an arithmetic number, because the mean of its divisors is an integer number (482129975922).

Almost surely, 2^{30136800768000} is an apocalyptic number.

30136800768000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30136800768000 is an abundant number, since it is smaller than the sum of its proper divisors (70146234223776).

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

30136800768000 is an equidigital number, since it uses as much as digits as its factorization.

30136800768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19620355 (or 19620323 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 30136800768000 in words is "thirty trillion, one hundred thirty-six billion, eight hundred million, seven hundred sixty-eight thousand".