99641203200 has 1440 divisors, whose sum is σ = 455936532480. Its totient is φ = 20179353600.

The previous prime is 99641203183. The next prime is 99641203223. The reversal of 99641203200 is 230214699.

99641203200 is a `hidden beast` number, since 9 + 9 + 641 + 2 + 0 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 416908681 + ... + 416908919.

It is an arithmetic number, because the mean of its divisors is an integer number (316622592).

Almost surely, 2^99641203200 is an apocalyptic number.

99641203200 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 99641203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227968266240).

99641203200 is an abundant number, since it is smaller than the sum of its proper divisors (356295329280).

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

99641203200 is a wasteful number, since it uses less digits than its factorization.

99641203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 99641203200 its reverse (230214699), we get a palindrome (99871417899).

The spelling of 99641203200 in words is "ninety-nine billion, six hundred forty-one million, two hundred three thousand, two hundred".