96661303200 has 864 divisors, whose sum is σ = 430532444160. Its totient is φ = 19822233600.

The previous prime is 96661303199. The next prime is 96661303217. The reversal of 96661303200 is 230316669.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43796497 + ... + 43798703.

It is an arithmetic number, because the mean of its divisors is an integer number (498301440).

Almost surely, 2^96661303200 is an apocalyptic number.

96661303200 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 96661303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215266222080).

96661303200 is an abundant number, since it is smaller than the sum of its proper divisors (333871140960).

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

96661303200 is a wasteful number, since it uses less digits than its factorization.

96661303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Adding to 96661303200 its reverse (230316669), we get a palindrome (96891619869).

The spelling of 96661303200 in words is "ninety-six billion, six hundred sixty-one million, three hundred three thousand, two hundred".