96585221376 has 216 divisors, whose sum is σ = 335013398720. Its totient is φ = 26143285248.

The previous prime is 96585221363. The next prime is 96585221389. The reversal of 96585221376 is 67312258569.

96585221376 is a `hidden beast` number, since 9 + 6 + 585 + 2 + 21 + 37 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (96585221363) and next prime (96585221389).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148836 + ... + 464028.

Almost surely, 2^96585221376 is an apocalyptic number.

96585221376 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 96585221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167506699360).

96585221376 is an abundant number, since it is smaller than the sum of its proper divisors (238428177344).

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

96585221376 is a wasteful number, since it uses less digits than its factorization.

96585221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315241 (or 315224 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 96585221376 in words is "ninety-six billion, five hundred eighty-five million, two hundred twenty-one thousand, three hundred seventy-six".