99279004968000 has 2240 divisors, whose sum is σ = 433362559069440. Its totient is φ = 22211241984000.

The previous prime is 99279004967957. The next prime is 99279004968041. The reversal of 99279004968000 is 86940097299.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22517349796 + ... + 22517354204.

It is an arithmetic number, because the mean of its divisors is an integer number (193465428156).

Almost surely, 2^{99279004968000} is an apocalyptic number.

99279004968000 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 99279004968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216681279534720).

99279004968000 is an abundant number, since it is smaller than the sum of its proper divisors (334083554101440).

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

99279004968000 is an equidigital number, since it uses as much as digits as its factorization.

99279004968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 99279004968000 in words is "ninety-nine trillion, two hundred seventy-nine billion, four million, nine hundred sixty-eight thousand".