99859668000 has 384 divisors, whose sum is σ = 346599751680. Its totient is φ = 25063603200.

The previous prime is 99859667927. The next prime is 99859668047. The reversal of 99859668000 is 86695899.

99859668000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 37162657 + ... + 37165343.

It is an arithmetic number, because the mean of its divisors is an integer number (902603520).

Almost surely, 2^99859668000 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 99859668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173299875840).

99859668000 is an abundant number, since it is smaller than the sum of its proper divisors (246740083680).

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

99859668000 is a wasteful number, since it uses less digits than its factorization.

99859668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 99859668000 in words is "ninety-nine billion, eight hundred fifty-nine million, six hundred sixty-eight thousand".