9889436448000 has 720 divisors, whose sum is σ = 36964585017360. Its totient is φ = 2625509376000.

The previous prime is 9889436447993. The next prime is 9889436448013. The reversal of 9889436448000 is 8446349889.

9889436448000 is a `hidden beast` number, since 9 + 8 + 8 + 94 + 3 + 64 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1165778002944 + 8723658445056 = 1079712^2 + 2953584^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 593559670 + ... + 593576330.

It is an arithmetic number, because the mean of its divisors is an integer number (51339701413).

Almost surely, 2^{9889436448000} is an apocalyptic number.

9889436448000 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 9889436448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18482292508680).

9889436448000 is an abundant number, since it is smaller than the sum of its proper divisors (27075148569360).

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

9889436448000 is a wasteful number, since it uses less digits than its factorization.

9889436448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16933 (or 16900 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 9889436448000 in words is "nine trillion, eight hundred eighty-nine billion, four hundred thirty-six million, four hundred forty-eight thousand".