96082983180288 has 1152 divisors, whose sum is σ = 322938330624000. Its totient is φ = 27273261219840.

The previous prime is 96082983180209. The next prime is 96082983180311. The reversal of 96082983180288 is 88208138928069.

It is a happy number.

96082983180288 is a `hidden beast` number, since 9 + 6 + 0 + 8 + 29 + 8 + 318 + 0 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28604637553 + ... + 28604640911.

It is an arithmetic number, because the mean of its divisors is an integer number (280328412000).

Almost surely, 2^{96082983180288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96082983180288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161469165312000).

96082983180288 is an abundant number, since it is smaller than the sum of its proper divisors (226855347443712).

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

96082983180288 is a wasteful number, since it uses less digits than its factorization.

96082983180288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 96082983180288 in words is "ninety-six trillion, eighty-two billion, nine hundred eighty-three million, one hundred eighty thousand, two hundred eighty-eight".