9980967977289 has 9 divisors (see below), whose sum is σ = 14416967435143. Its totient is φ = 6653972332992.

The previous prime is 9980967977287. The next prime is 9980967977389. The reversal of 9980967977289 is 9827797690899.

The square root of 9980967977289 is 3159267.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 765857767689 + 9215110209600 = 875133^2 + 3035640^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 9980967977289 - 2¹ = 9980967977287 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9980967977199 and 9980967977208.

It is not an unprimeable number, because it can be changed into a prime (9980967977287) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8951257 + ... + 10004345.

Almost surely, 2^{9980967977289} is an apocalyptic number.

9980967977289 is the 3159267-th square number.

9980967977289 is the 1579634-th centered octagonal number.

It is an amenable number.

9980967977289 is a deficient number, since it is larger than the sum of its proper divisors (4435999457854).

9980967977289 is an frugal number, since it uses more digits than its factorization.

9980967977289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106184 (or 1053092 counting only the distinct ones).

The product of its (nonzero) digits is 15554923776, while the sum is 90.

The spelling of 9980967977289 in words is "nine trillion, nine hundred eighty billion, nine hundred sixty-seven million, nine hundred seventy-seven thousand, two hundred eighty-nine".