96509992320 has 1024 divisors, whose sum is σ = 420076800000. Its totient is φ = 20874018816.

The previous prime is 96509992289. The next prime is 96509992331. The reversal of 96509992320 is 2329990569.

96509992320 is a `hidden beast` number, since 9 + 6 + 509 + 99 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 112613332 + ... + 112614188.

It is an arithmetic number, because the mean of its divisors is an integer number (410231250).

Almost surely, 2^96509992320 is an apocalyptic number.

96509992320 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 96509992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038400000).

96509992320 is an abundant number, since it is smaller than the sum of its proper divisors (323566807680).

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

96509992320 is a wasteful number, since it uses less digits than its factorization.

96509992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 96509992320 in words is "ninety-six billion, five hundred nine million, nine hundred ninety-two thousand, three hundred twenty".