96973120000 has 200 divisors, whose sum is σ = 245786585616. Its totient is φ = 38201856000.

The previous prime is 96973119989. The next prime is 96973120021. The reversal of 96973120000 is 2137969.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21437739 + ... + 21442261.

Almost surely, 2^96973120000 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 96973120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122893292808).

96973120000 is an abundant number, since it is smaller than the sum of its proper divisors (148813465616).

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

96973120000 is an frugal number, since it uses more digits than its factorization.

96973120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

Adding to 96973120000 its reverse (2137969), we get a palindrome (96975257969).

The spelling of 96973120000 in words is "ninety-six billion, nine hundred seventy-three million, one hundred twenty thousand".