19742184870912 has 352 divisors, whose sum is σ = 66870423920640. Its totient is φ = 5636300267520.

The previous prime is 19742184870887. The next prime is 19742184870937. The reversal of 19742184870912 is 21907848124791.

19742184870912 is a `hidden beast` number, since 1 + 97 + 42 + 18 + 487 + 0 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (19742184870887) and next prime (19742184870937).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 19742184870912.

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 31 ways as a sum of consecutive naturals, for example, 256783837 + ... + 256860707.

Almost surely, 2^{19742184870912} is an apocalyptic number.

19742184870912 is a gapful number since it is divisible by the number (12) 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 19742184870912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33435211960320).

19742184870912 is an abundant number, since it is smaller than the sum of its proper divisors (47128239049728).

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

19742184870912 is a wasteful number, since it uses less digits than its factorization.

19742184870912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78234 (or 78210 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 19742184870912 in words is "nineteen trillion, seven hundred forty-two billion, one hundred eighty-four million, eight hundred seventy thousand, nine hundred twelve".