96008016234240 has 1440 divisors, whose sum is σ = 397365004048320. Its totient is φ = 21874920652800.

The previous prime is 96008016234203. The next prime is 96008016234329. The reversal of 96008016234240 is 4243261080069.

96008016234240 is a `hidden beast` number, since 9 + 60 + 0 + 8 + 0 + 162 + 3 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15685018380 + ... + 15685024500.

It is an arithmetic number, because the mean of its divisors is an integer number (275947919478).

Almost surely, 2^{96008016234240} is an apocalyptic number.

96008016234240 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 96008016234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198682502024160).

96008016234240 is an abundant number, since it is smaller than the sum of its proper divisors (301356987814080).

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

96008016234240 is a wasteful number, since it uses less digits than its factorization.

96008016234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 96008016234240 in words is "ninety-six trillion, eight billion, sixteen million, two hundred thirty-four thousand, two hundred forty".