96824936732160 has 2560 divisors, whose sum is σ = 409905044398080. Its totient is φ = 18941824991232.

The previous prime is 96824936732159. The next prime is 96824936732231. The reversal of 96824936732160 is 6123763942869.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a junction number, because it is equal to n+sod(n) for n = 96824936732091 and 96824936732100.

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 255 ways as a sum of consecutive naturals, for example, 75822189442 + ... + 75822190718.

It is an arithmetic number, because the mean of its divisors is an integer number (160119157968).

Almost surely, 2^{96824936732160} 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 96824936732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204952522199040).

96824936732160 is an abundant number, since it is smaller than the sum of its proper divisors (313080107665920).

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

96824936732160 is a wasteful number, since it uses less digits than its factorization.

96824936732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 96824936732160 in words is "ninety-six trillion, eight hundred twenty-four billion, nine hundred thirty-six million, seven hundred thirty-two thousand, one hundred sixty".