9854915445760 has 704 divisors, whose sum is σ = 30330636779520. Its totient is φ = 2983034880000.

The previous prime is 9854915445751. The next prime is 9854915445821. The reversal of 9854915445760 is 675445194589.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3863156485 + ... + 3863159035.

It is an arithmetic number, because the mean of its divisors is an integer number (43083290880).

Almost surely, 2^{9854915445760} 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 9854915445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165318389760).

9854915445760 is an abundant number, since it is smaller than the sum of its proper divisors (20475721333760).

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

9854915445760 is a wasteful number, since it uses less digits than its factorization.

9854915445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 67.

The spelling of 9854915445760 in words is "nine trillion, eight hundred fifty-four billion, nine hundred fifteen million, four hundred forty-five thousand, seven hundred sixty".