9875897730216 has 320 divisors, whose sum is σ = 34350649344000. Its totient is φ = 2586943163520.

The previous prime is 9875897730211. The next prime is 9875897730253. The reversal of 9875897730216 is 6120377985789.

9875897730216 is a `hidden beast` number, since 9 + 8 + 7 + 589 + 7 + 7 + 30 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9875897730211) 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 79 ways as a sum of consecutive naturals, for example, 823465 + ... + 4519943.

It is an arithmetic number, because the mean of its divisors is an integer number (107345779200).

Almost surely, 2^{9875897730216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9875897730216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175324672000).

9875897730216 is an abundant number, since it is smaller than the sum of its proper divisors (24474751613784).

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

9875897730216 is a wasteful number, since it uses less digits than its factorization.

9875897730216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696554 (or 3696541 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 9875897730216 in words is "nine trillion, eight hundred seventy-five billion, eight hundred ninety-seven million, seven hundred thirty thousand, two hundred sixteen".