9983221138080 has 576 divisors, whose sum is σ = 39034198764288. Its totient is φ = 2396650291200.

The previous prime is 9983221138027. The next prime is 9983221138087. The reversal of 9983221138080 is 808311223899.

9983221138080 is a `hidden beast` number, since 99 + 83 + 2 + 21 + 1 + 380 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9983221138087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14873730 + ... + 15530430.

It is an arithmetic number, because the mean of its divisors is an integer number (67767706188).

Almost surely, 2^{9983221138080} is an apocalyptic number.

9983221138080 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 9983221138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517099382144).

9983221138080 is an abundant number, since it is smaller than the sum of its proper divisors (29050977626208).

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

9983221138080 is a wasteful number, since it uses less digits than its factorization.

9983221138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656771 (or 656751 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 9983221138080 in words is "nine trillion, nine hundred eighty-three billion, two hundred twenty-one million, one hundred thirty-eight thousand, eighty".