96289854876288 has 768 divisors, whose sum is σ = 312521999462400. Its totient is φ = 29398654771200.

The previous prime is 96289854876233. The next prime is 96289854876301. The reversal of 96289854876288 is 88267845898269.

96289854876288 is a `hidden beast` number, since 9 + 6 + 28 + 9 + 85 + 487 + 6 + 28 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96289854876198 and 96289854876207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28048310220 + ... + 28048313652.

It is an arithmetic number, because the mean of its divisors is an integer number (406929686800).

Almost surely, 2^{96289854876288} 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 96289854876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156260999731200).

96289854876288 is an abundant number, since it is smaller than the sum of its proper divisors (216232144586112).

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

96289854876288 is a wasteful number, since it uses less digits than its factorization.

96289854876288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5019 counting only the distinct ones).

The product of its digits is 53508833280, while the sum is 90.

The spelling of 96289854876288 in words is "ninety-six trillion, two hundred eighty-nine billion, eight hundred fifty-four million, eight hundred seventy-six thousand, two hundred eighty-eight".