9971233384560 has 80 divisors (see below), whose sum is σ = 35326655425536. Its totient is φ = 2279139058944.

The previous prime is 9971233384559. The next prime is 9971233384583. The reversal of 9971233384560 is 654833321799.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 9971233384494 and 9971233384503.

It is a congruent number.

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, 2967627304 + ... + 2967630663.

It is a 1-persistent number, because it is pandigital, but 2⋅9971233384560 = 19942466769120 is not.

Almost surely, 2^{9971233384560} is an apocalyptic number.

It is an amenable number.

9971233384560 is an abundant number, since it is smaller than the sum of its proper divisors (25355422040976).

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

9971233384560 is a wasteful number, since it uses less digits than its factorization.

9971233384560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935257990 (or 5935257984 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 9971233384560 in words is "nine trillion, nine hundred seventy-one billion, two hundred thirty-three million, three hundred eighty-four thousand, five hundred sixty".