96335568000 has 1920 divisors, whose sum is σ = 437882805360. Its totient is φ = 20901888000.

The previous prime is 96335567957. The next prime is 96335568019. The reversal of 96335568000 is 86553369.

96335568000 is a `hidden beast` number, since 9 + 633 + 5 + 5 + 6 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1506060864 + 94829507136 = 38808^2 + 307944^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2349647980 + ... + 2349648020.

Almost surely, 2^96335568000 is an apocalyptic number.

96335568000 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 96335568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218941402680).

96335568000 is an abundant number, since it is smaller than the sum of its proper divisors (341547237360).

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

96335568000 is a wasteful number, since it uses less digits than its factorization.

96335568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 96335568000 in words is "ninety-six billion, three hundred thirty-five million, five hundred sixty-eight thousand".