19734242300000 has 288 divisors, whose sum is σ = 50005963163520. Its totient is φ = 7660051200000.

The previous prime is 19734242299999. The next prime is 19734242300041. The reversal of 19734242300000 is 324243791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439293145 + ... + 1439306855.

It is an arithmetic number, because the mean of its divisors is an integer number (173631816540).

Almost surely, 2^{19734242300000} is an apocalyptic number.

19734242300000 is a gapful number since it is divisible by the number (10) 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 19734242300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25002981581760).

19734242300000 is an abundant number, since it is smaller than the sum of its proper divisors (30271720863520).

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

19734242300000 is an equidigital number, since it uses as much as digits as its factorization.

19734242300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14172 (or 14144 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

Adding to 19734242300000 its reverse (324243791), we get a palindrome (19734566543791).

The spelling of 19734242300000 in words is "nineteen trillion, seven hundred thirty-four billion, two hundred forty-two million, three hundred thousand".