96164362944000 has 2560 divisors, whose sum is σ = 418196753694720. Its totient is φ = 21557477376000.

The previous prime is 96164362943989. The next prime is 96164362944037. The reversal of 96164362944000 is 44926346169.

96164362944000 is a `hidden beast` number, since 9 + 6 + 1 + 6 + 4 + 3 + 629 + 4 + 4 + 0 + 0 + 0 = 666.

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

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11838523939 + ... + 11838532061.

It is an arithmetic number, because the mean of its divisors is an integer number (163358106912).

Almost surely, 2^{96164362944000} is an apocalyptic number.

96164362944000 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 96164362944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209098376847360).

96164362944000 is an abundant number, since it is smaller than the sum of its proper divisors (322032390750720).

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

96164362944000 is a wasteful number, since it uses less digits than its factorization.

96164362944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 96164362944000 in words is "ninety-six trillion, one hundred sixty-four billion, three hundred sixty-two million, nine hundred forty-four thousand".