96058085760 has 1536 divisors, whose sum is σ = 435798835200. Its totient is φ = 19564167168.

The previous prime is 96058085759. The next prime is 96058085779. The reversal of 96058085760 is 6758085069.

96058085760 is a `hidden beast` number, since 9 + 6 + 0 + 580 + 8 + 57 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 96058085697 and 96058085706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 756362817 + ... + 756362943.

It is an arithmetic number, because the mean of its divisors is an integer number (283723200).

Almost surely, 2^96058085760 is an apocalyptic number.

96058085760 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 96058085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217899417600).

96058085760 is an abundant number, since it is smaller than the sum of its proper divisors (339740749440).

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

96058085760 is a wasteful number, since it uses less digits than its factorization.

96058085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 96058085760 in words is "ninety-six billion, fifty-eight million, eighty-five thousand, seven hundred sixty".