96123875904000 has 2560 divisors, whose sum is σ = 418616329697280. Its totient is φ = 21284093952000.

The previous prime is 96123875903959. The next prime is 96123875904053. The reversal of 96123875904000 is 40957832169.

96123875904000 is a `hidden beast` number, since 9 + 6 + 1 + 2 + 3 + 8 + 7 + 590 + 40 + 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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 177678143730 + ... + 177678144270.

It is an arithmetic number, because the mean of its divisors is an integer number (163522003788).

It is a 1-persistent number, because it is pandigital, but 2⋅96123875904000 = 192247751808000 is not.

Almost surely, 2^{96123875904000} is an apocalyptic number.

96123875904000 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 96123875904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209308164848640).

96123875904000 is an abundant number, since it is smaller than the sum of its proper divisors (322492453793280).

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

96123875904000 is a wasteful number, since it uses less digits than its factorization.

96123875904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 96123875904000 in words is "ninety-six trillion, one hundred twenty-three billion, eight hundred seventy-five million, nine hundred four thousand".