9900116820 has 288 divisors, whose sum is σ = 34852970880. Its totient is φ = 2249441280.

The previous prime is 9900116797. The next prime is 9900116867. The reversal of 9900116820 is 286110099.

9900116820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3647784 + ... + 3650496.

It is an arithmetic number, because the mean of its divisors is an integer number (121017260).

Almost surely, 2^9900116820 is an apocalyptic number.

9900116820 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 9900116820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426485440).

9900116820 is an abundant number, since it is smaller than the sum of its proper divisors (24952854060).

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

9900116820 is a wasteful number, since it uses less digits than its factorization.

9900116820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 9900116820 is about 99499.3307515181. The cubic root of 9900116820 is about 2147.2376147538.

The spelling of 9900116820 in words is "nine billion, nine hundred million, one hundred sixteen thousand, eight hundred twenty".