9972151717689 has 80 divisors (see below), whose sum is σ = 17374045392000. Its totient is φ = 5697770789088.

The previous prime is 9972151717673. The next prime is 9972151717711. The reversal of 9972151717689 is 9867171512799.

9972151717689 is a `hidden beast` number, since 9 + 9 + 7 + 21 + 517 + 1 + 7 + 6 + 89 = 666.

9972151717689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9972151717689 - 2⁴ = 9972151717673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9972151717669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 517782142 + ... + 517801400.

It is an arithmetic number, because the mean of its divisors is an integer number (217175567400).

Almost surely, 2^{9972151717689} is an apocalyptic number.

It is an amenable number.

9972151717689 is a deficient number, since it is larger than the sum of its proper divisors (7401893674311).

9972151717689 is a wasteful number, since it uses less digits than its factorization.

9972151717689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37929 (or 37906 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 72.

The spelling of 9972151717689 in words is "nine trillion, nine hundred seventy-two billion, one hundred fifty-one million, seven hundred seventeen thousand, six hundred eighty-nine".