96042868416 has 336 divisors, whose sum is σ = 306421584768. Its totient is φ = 28517068800.

The previous prime is 96042868379. The next prime is 96042868513. The reversal of 96042868416 is 61486824069.

96042868416 is a `hidden beast` number, since 9 + 604 + 28 + 6 + 8 + 4 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98910811 + ... + 98911781.

Almost surely, 2^96042868416 is an apocalyptic number.

96042868416 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 96042868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153210792384).

96042868416 is an abundant number, since it is smaller than the sum of its proper divisors (210378716352).

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

96042868416 is a wasteful number, since it uses less digits than its factorization.

96042868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 96042868416 in words is "ninety-six billion, forty-two million, eight hundred sixty-eight thousand, four hundred sixteen".