96864766208000 has 1536 divisors, whose sum is σ = 306459432115200. Its totient is φ = 29793189888000.

The previous prime is 96864766207961. The next prime is 96864766208053. The reversal of 96864766208000 is 80266746869.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73326847340 + ... + 73326848660.

It is an arithmetic number, because the mean of its divisors is an integer number (199517859450).

Almost surely, 2^{96864766208000} 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 96864766208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153229716057600).

96864766208000 is an abundant number, since it is smaller than the sum of its proper divisors (209594665907200).

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

96864766208000 is a wasteful number, since it uses less digits than its factorization.

96864766208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 62.

The spelling of 96864766208000 in words is "ninety-six trillion, eight hundred sixty-four billion, seven hundred sixty-six million, two hundred eight thousand".