96586320960 has 336 divisors, whose sum is σ = 339837930432. Its totient is φ = 25171660800.

The previous prime is 96586320871. The next prime is 96586320983. The reversal of 96586320960 is 6902368569.

It is a junction number, because it is equal to n+sod(n) for n = 96586320897 and 96586320906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25275850 + ... + 25279670.

It is an arithmetic number, because the mean of its divisors is an integer number (1011422412).

Almost surely, 2^96586320960 is an apocalyptic number.

96586320960 is a gapful number since it is divisible by the number (90) 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 96586320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169918965216).

96586320960 is an abundant number, since it is smaller than the sum of its proper divisors (243251609472).

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

96586320960 is a wasteful number, since it uses less digits than its factorization.

96586320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 96586320960 in words is "ninety-six billion, five hundred eighty-six million, three hundred twenty thousand, nine hundred sixty".