9983856520 has 128 divisors (see below), whose sum is σ = 25239600000. Its totient is φ = 3522355200.

The previous prime is 9983856479. The next prime is 9983856637. The reversal of 9983856520 is 256583899.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 7992856 + ... + 7994104.

It is an arithmetic number, because the mean of its divisors is an integer number (197184375).

Almost surely, 2^9983856520 is an apocalyptic number.

9983856520 is the 49960-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9983856520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619800000).

9983856520 is an abundant number, since it is smaller than the sum of its proper divisors (15255743480).

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

9983856520 is a wasteful number, since it uses less digits than its factorization.

9983856520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The square root of 9983856520 is about 99919.2499971852. The cubic root of 9983856520 is about 2153.2747298370.

The spelling of 9983856520 in words is "nine billion, nine hundred eighty-three million, eight hundred fifty-six thousand, five hundred twenty".