9983138880 has 448 divisors, whose sum is σ = 37608028416. Its totient is φ = 2230272000.

The previous prime is 9983138849. The next prime is 9983138887. The reversal of 9983138880 is 888313899.

It is a self number, because there is not a number n which added to its sum of digits gives 9983138880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9983138887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16610580 + ... + 16611180.

It is an arithmetic number, because the mean of its divisors is an integer number (83946492).

Almost surely, 2^9983138880 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 9983138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18804014208).

9983138880 is an abundant number, since it is smaller than the sum of its proper divisors (27624889536).

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

9983138880 is a wasteful number, since it uses less digits than its factorization.

9983138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 9983138880 is about 99915.6588328376. The cubic root of 9983138880 is about 2153.2231361100.

The spelling of 9983138880 in words is "nine billion, nine hundred eighty-three million, one hundred thirty-eight thousand, eight hundred eighty".