9800064288000 has 2880 divisors, whose sum is σ = 43397645491200. Its totient is φ = 2194698240000.

The previous prime is 9800064287999. The next prime is 9800064288031. The reversal of 9800064288000 is 8824600089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 64901087925 + ... + 64901088075.

Almost surely, 2^{9800064288000} is an apocalyptic number.

9800064288000 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 9800064288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21698822745600).

9800064288000 is an abundant number, since it is smaller than the sum of its proper divisors (33597581203200).

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

9800064288000 is an equidigital number, since it uses as much as digits as its factorization.

9800064288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

Adding to 9800064288000 its reverse (8824600089), we get a palindrome (9808888888089).

The spelling of 9800064288000 in words is "nine trillion, eight hundred billion, sixty-four million, two hundred eighty-eight thousand".