96827900899968 has 192 divisors, whose sum is σ = 318480160240320. Its totient is φ = 27661364490240.

The previous prime is 96827900899943. The next prime is 96827900899979. The reversal of 96827900899968 is 86999800972869.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58952196 + ... + 60572412.

It is an arithmetic number, because the mean of its divisors is an integer number (1658750834585).

Almost surely, 2^{96827900899968} 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 96827900899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159240080120160).

96827900899968 is an abundant number, since it is smaller than the sum of its proper divisors (221652259340352).

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

96827900899968 is a wasteful number, since it uses less digits than its factorization.

96827900899968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627655 (or 1627640 counting only the distinct ones).

The product of its (nonzero) digits is 15237476352, while the sum is 90.

The spelling of 96827900899968 in words is "ninety-six trillion, eight hundred twenty-seven billion, nine hundred million, eight hundred ninety-nine thousand, nine hundred sixty-eight".