96582915072 has 528 divisors, whose sum is σ = 335303709312. Its totient is φ = 26197032960.

The previous prime is 96582915053. The next prime is 96582915089. The reversal of 96582915072 is 27051928569.

96582915072 is a `hidden beast` number, since 9 + 6 + 582 + 9 + 1 + 50 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102638122 + ... + 102639062.

It is an arithmetic number, because the mean of its divisors is an integer number (635044904).

Almost surely, 2^96582915072 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 96582915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167651854656).

96582915072 is an abundant number, since it is smaller than the sum of its proper divisors (238720794240).

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

96582915072 is a wasteful number, since it uses less digits than its factorization.

96582915072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 96582915072 in words is "ninety-six billion, five hundred eighty-two million, nine hundred fifteen thousand, seventy-two".