9995910580161 has 81 divisors (see below), whose sum is σ = 16002573879747. Its totient is φ = 6008110621920.

The previous prime is 9995910580079. The next prime is 9995910580171. The reversal of 9995910580161 is 1610850195999.

The square root of 9995910580161 is 3161631.

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., 1171089744561 + 8824820835600 = 1082169^2 + 2970660^2 .

It is not a de Polignac number, because 9995910580161 - 2¹⁵ = 9995910547393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9995910580171) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15545739306 + ... + 15545739948.

Almost surely, 2^{9995910580161} is an apocalyptic number.

9995910580161 is the 3161631-st square number.

9995910580161 is the 1580816-th centered octagonal number.

It is an amenable number.

9995910580161 is a deficient number, since it is larger than the sum of its proper divisors (6006663299586).

9995910580161 is an equidigital number, since it uses as much as digits as its factorization.

9995910580161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 63.

The spelling of 9995910580161 in words is "nine trillion, nine hundred ninety-five billion, nine hundred ten million, five hundred eighty thousand, one hundred sixty-one".