96943968000 has 864 divisors, whose sum is σ = 386799888384. Its totient is φ = 23116800000.

The previous prime is 96943967993. The next prime is 96943968031. The reversal of 96943968000 is 86934969.

It is a happy number.

96943968000 is a `hidden beast` number, since 96 + 94 + 396 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224927785 + ... + 224928215.

It is an arithmetic number, because the mean of its divisors is an integer number (447685056).

Almost surely, 2^96943968000 is an apocalyptic number.

96943968000 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 96943968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193399944192).

96943968000 is an abundant number, since it is smaller than the sum of its proper divisors (289855920384).

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

96943968000 is a wasteful number, since it uses less digits than its factorization.

96943968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 96943968000 in words is "ninety-six billion, nine hundred forty-three million, nine hundred sixty-eight thousand".