96127982496 has 480 divisors, whose sum is σ = 350799482880. Its totient is φ = 25144971264.

The previous prime is 96127982453. The next prime is 96127982521. The reversal of 96127982496 is 69428972169.

96127982496 is a `hidden beast` number, since 9 + 61 + 2 + 7 + 9 + 82 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29954140 + ... + 29957348.

It is an arithmetic number, because the mean of its divisors is an integer number (730832256).

Almost surely, 2^96127982496 is an apocalyptic number.

96127982496 is a gapful number since it is divisible by the number (96) 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 96127982496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175399741440).

96127982496 is an abundant number, since it is smaller than the sum of its proper divisors (254671500384).

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

96127982496 is a wasteful number, since it uses less digits than its factorization.

96127982496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3361 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 96127982496 in words is "ninety-six billion, one hundred twenty-seven million, nine hundred eighty-two thousand, four hundred ninety-six".