96843837168000 has 5120 divisors, whose sum is σ = 436786278888960. Its totient is φ = 21021327360000.

The previous prime is 96843837167993. The next prime is 96843837168007. The reversal of 96843837168000 is 86173834869.

96843837168000 is a `hidden beast` number, since 9 + 6 + 8 + 438 + 37 + 168 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96843837167993) and next prime (96843837168007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96843837168007) by changing a digit.

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 639 ways as a sum of consecutive naturals, for example, 401841647880 + ... + 401841648120.

Almost surely, 2^{96843837168000} is an apocalyptic number.

96843837168000 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 96843837168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218393139444480).

96843837168000 is an abundant number, since it is smaller than the sum of its proper divisors (339942441720960).

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

96843837168000 is a wasteful number, since it uses less digits than its factorization.

96843837168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 96843837168000 in words is "ninety-six trillion, eight hundred forty-three billion, eight hundred thirty-seven million, one hundred sixty-eight thousand".