96288084786768 has 240 divisors, whose sum is σ = 296431970889600. Its totient is φ = 26838163968000.

The previous prime is 96288084786763. The next prime is 96288084786791. The reversal of 96288084786768 is 86768748088269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96288084786763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2598920308 + ... + 2598957356.

It is an arithmetic number, because the mean of its divisors is an integer number (1235133212040).

Almost surely, 2^{96288084786768} is an apocalyptic number.

96288084786768 is a gapful number since it is divisible by the number (98) 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 96288084786768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148215985444800).

96288084786768 is an abundant number, since it is smaller than the sum of its proper divisors (200143886102832).

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

96288084786768 is a wasteful number, since it uses less digits than its factorization.

96288084786768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64066 (or 64053 counting only the distinct ones).

The product of its (nonzero) digits is 24970788864, while the sum is 87.

The spelling of 96288084786768 in words is "ninety-six trillion, two hundred eighty-eight billion, eighty-four million, seven hundred eighty-six thousand, seven hundred sixty-eight".