9919990080 has 1792 divisors, whose sum is σ = 49813585920. Its totient is φ = 1791590400.

The previous prime is 9919990061. The next prime is 9919990097. The reversal of 9919990080 is 800999199.

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

It is a junction number, because it is equal to n+sod(n) for n = 9919989999 and 9919990026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 268107822 + ... + 268107858.

It is an arithmetic number, because the mean of its divisors is an integer number (27797760).

Almost surely, 2^9919990080 is an apocalyptic number.

9919990080 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 9919990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24906792960).

9919990080 is an abundant number, since it is smaller than the sum of its proper divisors (39893595840).

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

9919990080 is a wasteful number, since it uses less digits than its factorization.

9919990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 54.

The square root of 9919990080 is about 99599.1469842990. The cubic root of 9919990080 is about 2148.6734257530.

It can be divided in two parts, 9919 and 990080, that added together give a palindrome (999999).

The spelling of 9919990080 in words is "nine billion, nine hundred nineteen million, nine hundred ninety thousand, eighty".