96398436096 has 288 divisors, whose sum is σ = 298256555520. Its totient is φ = 30653669376.

The previous prime is 96398436083. The next prime is 96398436149. The reversal of 96398436096 is 69063489369.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 93318396 + ... + 93319428.

It is an arithmetic number, because the mean of its divisors is an integer number (1035613040).

Almost surely, 2^96398436096 is an apocalyptic number.

96398436096 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 96398436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149128277760).

96398436096 is an abundant number, since it is smaller than the sum of its proper divisors (201858119424).

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

96398436096 is a wasteful number, since it uses less digits than its factorization.

96398436096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 96398436096 in words is "ninety-six billion, three hundred ninety-eight million, four hundred thirty-six thousand, ninety-six".