96501967200 has 216 divisors, whose sum is σ = 340494519456. Its totient is φ = 25718400000.

The previous prime is 96501967187. The next prime is 96501967207. The reversal of 96501967200 is 276910569.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96501967207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16924350 + ... + 16930050.

It is an arithmetic number, because the mean of its divisors is an integer number (1576363516).

Almost surely, 2^96501967200 is an apocalyptic number.

96501967200 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 96501967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170247259728).

96501967200 is an abundant number, since it is smaller than the sum of its proper divisors (243992552256).

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

96501967200 is a wasteful number, since it uses less digits than its factorization.

96501967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 96501967200 in words is "ninety-six billion, five hundred one million, nine hundred sixty-seven thousand, two hundred".