9920990016 has 1008 divisors, whose sum is σ = 39028055040. Its totient is φ = 2384363520.

The previous prime is 9920989997. The next prime is 9920990021. The reversal of 9920990016 is 6100990299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 320031921 + ... + 320031951.

Almost surely, 2^9920990016 is an apocalyptic number.

9920990016 is a gapful number since it is divisible by the number (96) 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 9920990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514027520).

9920990016 is an abundant number, since it is smaller than the sum of its proper divisors (29107065024).

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

9920990016 is a wasteful number, since it uses less digits than its factorization.

9920990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 9920990016 is about 99604.1666598341. The cubic root of 9920990016 is about 2148.7456188266.

It can be divided in two parts, 99209 and 90016, that added together give a square (189225 = 435²).

The spelling of 9920990016 in words is "nine billion, nine hundred twenty million, nine hundred ninety thousand, sixteen".