96239428084800 has 5376 divisors, whose sum is σ = 487039227494400. Its totient is φ = 17844041318400.

The previous prime is 96239428084799. The next prime is 96239428084841. The reversal of 96239428084800 is 848082493269.

96239428084800 is a `hidden beast` number, since 9 + 6 + 2 + 39 + 42 + 80 + 8 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 767 ways as a sum of consecutive naturals, for example, 170940369319 + ... + 170940369881.

It is an arithmetic number, because the mean of its divisors is an integer number (90595094400).

Almost surely, 2^{96239428084800} is an apocalyptic number.

96239428084800 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 96239428084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243519613747200).

96239428084800 is an abundant number, since it is smaller than the sum of its proper divisors (390799799409600).

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

96239428084800 is a wasteful number, since it uses less digits than its factorization.

96239428084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 96239428084800 in words is "ninety-six trillion, two hundred thirty-nine billion, four hundred twenty-eight million, eighty-four thousand, eight hundred".