99905344000 has 960 divisors, whose sum is σ = 332811198720. Its totient is φ = 29196288000.

The previous prime is 99905343977. The next prime is 99905344013. The reversal of 99905344000 is 44350999.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029951952 + ... + 1029952048.

It is an arithmetic number, because the mean of its divisors is an integer number (346678332).

Almost surely, 2^99905344000 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 99905344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166405599360).

99905344000 is an abundant number, since it is smaller than the sum of its proper divisors (232905854720).

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

99905344000 is a wasteful number, since it uses less digits than its factorization.

99905344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

Adding to 99905344000 its reverse (44350999), we get a palindrome (99949694999).

The spelling of 99905344000 in words is "ninety-nine billion, nine hundred five million, three hundred forty-four thousand".