19681040281056 has 192 divisors, whose sum is σ = 64434695754240. Its totient is φ = 5110052290560.

The previous prime is 19681040281031. The next prime is 19681040281079. The reversal of 19681040281056 is 65018204018691.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19382020 + ... + 20372156.

It is an arithmetic number, because the mean of its divisors is an integer number (335597373720).

Almost surely, 2^{19681040281056} is an apocalyptic number.

19681040281056 is a gapful number since it is divisible by the number (16) 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 19681040281056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32217347877120).

19681040281056 is an abundant number, since it is smaller than the sum of its proper divisors (44753655473184).

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

19681040281056 is a wasteful number, since it uses less digits than its factorization.

19681040281056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992857 (or 992849 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 19681040281056 in words is "nineteen trillion, six hundred eighty-one billion, forty million, two hundred eighty-one thousand, fifty-six".