96581908706976 has 1152 divisors, whose sum is σ = 363574685859840. Its totient is φ = 24490872806400.

The previous prime is 96581908706963. The next prime is 96581908706977. The reversal of 96581908706976 is 67960780918569.

96581908706976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 96581908706895 and 96581908706904.

It is not an unprimeable number, because it can be changed into a prime (96581908706977) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11791219041 + ... + 11791227231.

It is an arithmetic number, because the mean of its divisors is an integer number (315603025920).

Almost surely, 2^{96581908706976} is an apocalyptic number.

96581908706976 is a gapful number since it is divisible by the number (96) 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 96581908706976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181787342929920).

96581908706976 is an abundant number, since it is smaller than the sum of its proper divisors (266992777152864).

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

96581908706976 is a wasteful number, since it uses less digits than its factorization.

96581908706976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 81.

The spelling of 96581908706976 in words is "ninety-six trillion, five hundred eighty-one billion, nine hundred eight million, seven hundred six thousand, nine hundred seventy-six".