9849869617920 has 288 divisors, whose sum is σ = 32663856657600. Its totient is φ = 2526622973952.

The previous prime is 9849869617901. The next prime is 9849869617937. The reversal of 9849869617920 is 297169689489.

9849869617920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29791434 + ... + 30120246.

It is an arithmetic number, because the mean of its divisors is an integer number (113416168950).

Almost surely, 2^{9849869617920} 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 9849869617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331928328800).

9849869617920 is an abundant number, since it is smaller than the sum of its proper divisors (22813987039680).

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

9849869617920 is a wasteful number, since it uses less digits than its factorization.

9849869617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329135 (or 329121 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 78.

The spelling of 9849869617920 in words is "nine trillion, eight hundred forty-nine billion, eight hundred sixty-nine million, six hundred seventeen thousand, nine hundred twenty".