19971054670336 has 320 divisors, whose sum is σ = 53030748672000. Its totient is φ = 7278077214720.

The previous prime is 19971054670327. The next prime is 19971054670337. The reversal of 19971054670336 is 63307645017991.

It is not an unprimeable number, because it can be changed into a prime (19971054670337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59006680 + ... + 59344168.

It is an arithmetic number, because the mean of its divisors is an integer number (165721089600).

Almost surely, 2^{19971054670336} is an apocalyptic number.

19971054670336 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 19971054670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26515374336000).

19971054670336 is an abundant number, since it is smaller than the sum of its proper divisors (33059694001664).

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

19971054670336 is a wasteful number, since it uses less digits than its factorization.

19971054670336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337623 (or 337607 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 61.

The spelling of 19971054670336 in words is "nineteen trillion, nine hundred seventy-one billion, fifty-four million, six hundred seventy thousand, three hundred thirty-six".