9903985056 has 288 divisors, whose sum is σ = 33187190400. Its totient is φ = 2800272384.

The previous prime is 9903984991. The next prime is 9903985061. The reversal of 9903985056 is 6505893099.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 9903984993 and 9903985011.

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, 10569420 + ... + 10570356.

It is an arithmetic number, because the mean of its divisors is an integer number (115233300).

Almost surely, 2^9903985056 is an apocalyptic number.

9903985056 is a gapful number since it is divisible by the number (96) 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 9903985056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593595200).

9903985056 is an abundant number, since it is smaller than the sum of its proper divisors (23283205344).

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

9903985056 is a wasteful number, since it uses less digits than its factorization.

9903985056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 9903985056 is about 99518.7673557103. The cubic root of 9903985056 is about 2147.5172390732.

The spelling of 9903985056 in words is "nine billion, nine hundred three million, nine hundred eighty-five thousand, fifty-six".