96239480832000 has 1024 divisors, whose sum is σ = 388223216409600. Its totient is φ = 23330488320000.

The previous prime is 96239480831983. The next prime is 96239480832023. The reversal of 96239480832000 is 23808493269.

It is a happy number.

96239480832000 is a `hidden beast` number, since 9 + 6 + 239 + 4 + 80 + 8 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216472445 + ... + 1216551555.

It is an arithmetic number, because the mean of its divisors is an integer number (379124234775).

Almost surely, 2^{96239480832000} is an apocalyptic number.

96239480832000 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 96239480832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194111608204800).

96239480832000 is an abundant number, since it is smaller than the sum of its proper divisors (291983735577600).

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

96239480832000 is an equidigital number, since it uses as much as digits as its factorization.

96239480832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79176 (or 79132 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 96239480832000 in words is "ninety-six trillion, two hundred thirty-nine billion, four hundred eighty million, eight hundred thirty-two thousand".