96794508096400 has 135 divisors (see below), whose sum is σ = 234300059911281. Its totient is φ = 38428396275840.

The previous prime is 96794508096389. The next prime is 96794508096437. The reversal of 96794508096400 is 469080549769.

The square root of 96794508096400 is 9838420.

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

96794508096400 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 only one way, i.e., 34846022914704 + 61948485181696 = 5903052^2 + 7870736^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 27350805831 + ... + 27350809369.

Almost surely, 2^{96794508096400} is an apocalyptic number.

96794508096400 is the 9838420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96794508096400

96794508096400 is an abundant number, since it is smaller than the sum of its proper divisors (137505551814881).

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

96794508096400 is an frugal number, since it uses more digits than its factorization.

96794508096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 96794508096400 in words is "ninety-six trillion, seven hundred ninety-four billion, five hundred eight million, ninety-six thousand, four hundred".