9998909600 has 288 divisors, whose sum is σ = 27571985280. Its totient is φ = 3521802240.

The previous prime is 9998909597. The next prime is 9998909617. The reversal of 9998909600 is 69098999.

It is a self number, because there is not a number n which added to its sum of digits gives 9998909600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12934814 + ... + 12935586.

It is an arithmetic number, because the mean of its divisors is an integer number (95736060).

Almost surely, 2^9998909600 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 9998909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13785992640).

9998909600 is an abundant number, since it is smaller than the sum of its proper divisors (17573075680).

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

9998909600 is a wasteful number, since it uses less digits than its factorization.

9998909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 59.

The square root of 9998909600 is about 99994.5478513704. The cubic root of 9998909600 is about 2154.3563806660.

The spelling of 9998909600 in words is "nine billion, nine hundred ninety-eight million, nine hundred nine thousand, six hundred".