19742938685568 has 576 divisors, whose sum is σ = 66647451780000. Its totient is φ = 5593182658560.

The previous prime is 19742938685549. The next prime is 19742938685683. The reversal of 19742938685568 is 86558683924791.

19742938685568 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 29 + 38 + 6 + 8 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11620327983 + ... + 11620329681.

Almost surely, 2^{19742938685568} is an apocalyptic number.

19742938685568 is a gapful number since it is divisible by the number (18) 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 19742938685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33323725890000).

19742938685568 is an abundant number, since it is smaller than the sum of its proper divisors (46904513094432).

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

19742938685568 is a wasteful number, since it uses less digits than its factorization.

19742938685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3331 counting only the distinct ones).

The product of its digits is 6270566400, while the sum is 81.

The spelling of 19742938685568 in words is "nineteen trillion, seven hundred forty-two billion, nine hundred thirty-eight million, six hundred eighty-five thousand, five hundred sixty-eight".