9980386680625 has 45 divisors (see below), whose sum is σ = 12599805249031. Its totient is φ = 7902992180000.

The previous prime is 9980386680601. The next prime is 9980386680629. The reversal of 9980386680625 is 5260866830899.

The square root of 9980386680625 is 3159175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2959222217121 + 7021164463504 = 1720239^2 + 2649748^2 .

It is not a de Polignac number, because 9980386680625 - 2¹³ = 9980386672433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9980386680629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8450792535 + ... + 8450793715.

Almost surely, 2^{9980386680625} is an apocalyptic number.

9980386680625 is the 3159175-th square number.

9980386680625 is the 1579588-th centered octagonal number.

It is an amenable number.

9980386680625 is a deficient number, since it is larger than the sum of its proper divisors (2619418568406).

9980386680625 is an frugal number, since it uses more digits than its factorization.

9980386680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 70.

The spelling of 9980386680625 in words is "nine trillion, nine hundred eighty billion, three hundred eighty-six million, six hundred eighty thousand, six hundred twenty-five".