9971771105472 has 112 divisors (see below), whose sum is σ = 28790311939200. Its totient is φ = 3020892712960.

The previous prime is 9971771105423. The next prime is 9971771105507. The reversal of 9971771105472 is 2745011771799.

9971771105472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6807304 + ... + 8141432.

It is an arithmetic number, because the mean of its divisors is an integer number (257056356600).

Almost surely, 2^{9971771105472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9971771105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395155969600).

9971771105472 is an abundant number, since it is smaller than the sum of its proper divisors (18818540833728).

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

9971771105472 is a wasteful number, since it uses less digits than its factorization.

9971771105472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337694 (or 1337684 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 60.

The spelling of 9971771105472 in words is "nine trillion, nine hundred seventy-one billion, seven hundred seventy-one million, one hundred five thousand, four hundred seventy-two".