96505394098176 has 2080 divisors, whose sum is σ = 359900979812352. Its totient is φ = 25141507522560.

The previous prime is 96505394098147. The next prime is 96505394098181. The reversal of 96505394098176 is 67189049350569.

96505394098176 is a `hidden beast` number, since 9 + 6 + 5 + 0 + 539 + 4 + 0 + 9 + 81 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 243086634810 + ... + 243086635206.

Almost surely, 2^{96505394098176} is an apocalyptic number.

96505394098176 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 96505394098176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179950489906176).

96505394098176 is an abundant number, since it is smaller than the sum of its proper divisors (263395585714176).

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

96505394098176 is a wasteful number, since it uses less digits than its factorization.

96505394098176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 96505394098176 in words is "ninety-six trillion, five hundred five billion, three hundred ninety-four million, ninety-eight thousand, one hundred seventy-six".