96958410546432 has 288 divisors, whose sum is σ = 280854087865344. Its totient is φ = 29570973696000.

The previous prime is 96958410546391. The next prime is 96958410546443. The reversal of 96958410546432 is 23464501485969.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570423057 + ... + 570593007.

It is an arithmetic number, because the mean of its divisors is an integer number (975187805088).

Almost surely, 2^{96958410546432} 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 96958410546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140427043932672).

96958410546432 is an abundant number, since it is smaller than the sum of its proper divisors (183895677318912).

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

96958410546432 is a wasteful number, since it uses less digits than its factorization.

96958410546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171205 (or 171191 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 66.

The spelling of 96958410546432 in words is "ninety-six trillion, nine hundred fifty-eight billion, four hundred ten million, five hundred forty-six thousand, four hundred thirty-two".