96538958352 has 240 divisors, whose sum is σ = 312280637760. Its totient is φ = 28692320256.

The previous prime is 96538958339. The next prime is 96538958359. The reversal of 96538958352 is 25385983569.

96538958352 is a `hidden beast` number, since 9 + 6 + 538 + 95 + 8 + 3 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 96538958352.

It is not an unprimeable number, because it can be changed into a prime (96538958359) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1217388 + ... + 1294260.

It is an arithmetic number, because the mean of its divisors is an integer number (1301169324).

Almost surely, 2^96538958352 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 96538958352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156140318880).

96538958352 is an abundant number, since it is smaller than the sum of its proper divisors (215741679408).

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

96538958352 is a wasteful number, since it uses less digits than its factorization.

96538958352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76932 (or 76914 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 96538958352 in words is "ninety-six billion, five hundred thirty-eight million, nine hundred fifty-eight thousand, three hundred fifty-two".