19971530688060 has 1080 divisors, whose sum is σ = 76641170593680. Its totient is φ = 4340418711552.

The previous prime is 19971530688019. The next prime is 19971530688073. The reversal of 19971530688060 is 6088603517991.

19971530688060 is a `hidden beast` number, since 1 + 9 + 97 + 1 + 530 + 6 + 8 + 8 + 0 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7516570252 + ... + 7516572908.

It is an arithmetic number, because the mean of its divisors is an integer number (70964046846).

Almost surely, 2^{19971530688060} is an apocalyptic number.

19971530688060 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 19971530688060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320585296840).

19971530688060 is an abundant number, since it is smaller than the sum of its proper divisors (56669639905620).

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

19971530688060 is a wasteful number, since it uses less digits than its factorization.

19971530688060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 19971530688060 in words is "nineteen trillion, nine hundred seventy-one billion, five hundred thirty million, six hundred eighty-eight thousand, sixty".