96793804800 has 1620 divisors, whose sum is σ = 449607278848. Its totient is φ = 19464192000.

The previous prime is 96793804781. The next prime is 96793804841. The reversal of 96793804800 is 840839769.

96793804800 is a `hidden beast` number, since 96 + 79 + 3 + 8 + 0 + 480 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 3122380785 + ... + 3122380815.

Almost surely, 2^96793804800 is an apocalyptic number.

96793804800 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 96793804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224803639424).

96793804800 is an abundant number, since it is smaller than the sum of its proper divisors (352813474048).

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

96793804800 is a wasteful number, since it uses less digits than its factorization.

96793804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 96793804800 in words is "ninety-six billion, seven hundred ninety-three million, eight hundred four thousand, eight hundred".