96459268800 has 168 divisors, whose sum is σ = 316888374096. Its totient is φ = 25688207360.

The previous prime is 96459268777. The next prime is 96459268811. The reversal of 96459268800 is 886295469.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3697402 + ... + 3723398.

It is an arithmetic number, because the mean of its divisors is an integer number (1886240322).

Almost surely, 2^96459268800 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 96459268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158444187048).

96459268800 is an abundant number, since it is smaller than the sum of its proper divisors (220429105296).

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

96459268800 is a wasteful number, since it uses less digits than its factorization.

96459268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26795 (or 26780 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 96459268800 in words is "ninety-six billion, four hundred fifty-nine million, two hundred sixty-eight thousand, eight hundred".