9712882521216 has 192 divisors, whose sum is σ = 31948610690880. Its totient is φ = 2774592681984.

The previous prime is 9712882521211. The next prime is 9712882521263. The reversal of 9712882521216 is 6121252882179.

It is a happy number.

9712882521216 is a `hidden beast` number, since 9 + 7 + 1 + 28 + 82 + 521 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (9712882521211) 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 23 ways as a sum of consecutive naturals, for example, 44299090 + ... + 44517806.

It is an arithmetic number, because the mean of its divisors is an integer number (166399014015).

Almost surely, 2^{9712882521216} is an apocalyptic number.

9712882521216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9712882521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15974305345440).

9712882521216 is an abundant number, since it is smaller than the sum of its proper divisors (22235728169664).

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

9712882521216 is a wasteful number, since it uses less digits than its factorization.

9712882521216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224251 (or 224236 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 9712882521216 in words is "nine trillion, seven hundred twelve billion, eight hundred eighty-two million, five hundred twenty-one thousand, two hundred sixteen".