9983405520 has 400 divisors, whose sum is σ = 38054225088. Its totient is φ = 2405652480.

The previous prime is 9983405513. The next prime is 9983405573. The reversal of 9983405520 is 255043899.

9983405520 is a `hidden beast` number, since 9 + 9 + 83 + 40 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16180252 + ... + 16180868.

Almost surely, 2^9983405520 is an apocalyptic number.

9983405520 is a gapful number since it is divisible by the number (90) 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 9983405520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027112544).

9983405520 is an abundant number, since it is smaller than the sum of its proper divisors (28070819568).

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

9983405520 is a wasteful number, since it uses less digits than its factorization.

9983405520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 9983405520 is about 99916.9931493137. The cubic root of 9983405520 is about 2153.2423061096.

The spelling of 9983405520 in words is "nine billion, nine hundred eighty-three million, four hundred five thousand, five hundred twenty".