18272729102000 has 80 divisors (see below), whose sum is σ = 44184832629600. Its totient is φ = 7308864403200.

The previous prime is 18272729101997. The next prime is 18272729102027. The reversal of 18272729102000 is 20192727281.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73834466 + ... + 74081534.

It is an arithmetic number, because the mean of its divisors is an integer number (552310407870).

Almost surely, 2^{18272729102000} is an apocalyptic number.

18272729102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18272729102000 is an abundant number, since it is smaller than the sum of its proper divisors (25912103527600).

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

18272729102000 is a wasteful number, since it uses less digits than its factorization.

18272729102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284071 (or 284055 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 18272729102000 in words is "eighteen trillion, two hundred seventy-two billion, seven hundred twenty-nine million, one hundred two thousand".