9971659620177 has 32 divisors (see below), whose sum is σ = 13673793893760. Its totient is φ = 6461330810880.

The previous prime is 9971659620161. The next prime is 9971659620283. The reversal of 9971659620177 is 7710269561799.

It is not a de Polignac number, because 9971659620177 - 2⁴ = 9971659620161 is a prime.

It is a super-2 number, since 2×9971659620177² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9971659620577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17105527 + ... + 17678867.

It is an arithmetic number, because the mean of its divisors is an integer number (427306059180).

Almost surely, 2^{9971659620177} is an apocalyptic number.

9971659620177 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

9971659620177 is a deficient number, since it is larger than the sum of its proper divisors (3702134273583).

9971659620177 is a wasteful number, since it uses less digits than its factorization.

9971659620177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574513.

The product of its (nonzero) digits is 90016920, while the sum is 69.

The spelling of 9971659620177 in words is "nine trillion, nine hundred seventy-one billion, six hundred fifty-nine million, six hundred twenty thousand, one hundred seventy-seven".