19739268042192 has 480 divisors, whose sum is σ = 59146373988000. Its totient is φ = 6135222632448.

The previous prime is 19739268042187. The next prime is 19739268042211. The reversal of 19739268042192 is 29124086293791.

19739268042192 is a `hidden beast` number, since 1 + 97 + 39 + 2 + 6 + 8 + 0 + 421 + 92 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7025023026576 + 12714245015616 = 2650476^2 + 3565704^2 .

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3726496888 + ... + 3726502184.

It is an arithmetic number, because the mean of its divisors is an integer number (123221612475).

Almost surely, 2^{19739268042192} is an apocalyptic number.

19739268042192 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 19739268042192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29573186994000).

19739268042192 is an abundant number, since it is smaller than the sum of its proper divisors (39407105945808).

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

19739268042192 is a wasteful number, since it uses less digits than its factorization.

19739268042192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 19739268042192 in words is "nineteen trillion, seven hundred thirty-nine billion, two hundred sixty-eight million, forty-two thousand, one hundred ninety-two".