96749981116800 has 768 divisors, whose sum is σ = 361821696215040. Its totient is φ = 22697849856000.

The previous prime is 96749981116799. The next prime is 96749981116807. The reversal of 96749981116800 is 861118994769.

It is a super-4 number, since 4×96749981116800⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96749981116807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395983474 + ... + 396227726.

It is an arithmetic number, because the mean of its divisors is an integer number (471122000280).

Almost surely, 2^{96749981116800} 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 96749981116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180910848107520).

96749981116800 is an abundant number, since it is smaller than the sum of its proper divisors (265071715098240).

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

96749981116800 is a wasteful number, since it uses less digits than its factorization.

96749981116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244344 (or 244305 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 69.

The spelling of 96749981116800 in words is "ninety-six trillion, seven hundred forty-nine billion, nine hundred eighty-one million, one hundred sixteen thousand, eight hundred".