96808282374400 has 243 divisors, whose sum is σ = 248221679486053. Its totient is φ = 37379210444800.

The previous prime is 96808282374389. The next prime is 96808282374413. The reversal of 96808282374400 is 447328280869.

The square root of 96808282374400 is 9839120.

It is a perfect power (a square), and thus also a powerful number.

96808282374400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 5489311613184 + 91318970761216 = 2342928^2 + 9556096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22826756280 + ... + 22826760520.

Almost surely, 2^{96808282374400} is an apocalyptic number.

96808282374400 is the 9839120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96808282374400

96808282374400 is an abundant number, since it is smaller than the sum of its proper divisors (151413397111653).

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

96808282374400 is an frugal number, since it uses more digits than its factorization.

96808282374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8566 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 61.

The spelling of 96808282374400 in words is "ninety-six trillion, eight hundred eight billion, two hundred eighty-two million, three hundred seventy-four thousand, four hundred".