9837920810116 has 81 divisors (see below), whose sum is σ = 20169704521701. Its totient is φ = 4186460861856.

The previous prime is 9837920810099. The next prime is 9837920810117. The reversal of 9837920810116 is 6110180297389.

It is a happy number.

The square root of 9837920810116 is 3136546.

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., 2883645496900 + 6954275313216 = 1698130^2 + 2637096^2 .

It is a super-3 number, since 3×9837920810116³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (9837920810117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6894127395 + ... + 6894128821.

Almost surely, 2^{9837920810116} is an apocalyptic number.

9837920810116 is the 3136546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9837920810116

9837920810116 is an abundant number, since it is smaller than the sum of its proper divisors (10331783711585).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9837920810116 is an equidigital number, since it uses as much as digits as its factorization.

9837920810116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 55.

The spelling of 9837920810116 in words is "nine trillion, eight hundred thirty-seven billion, nine hundred twenty million, eight hundred ten thousand, one hundred sixteen".