9921486960 has 1280 divisors, whose sum is σ = 47054131200. Its totient is φ = 1873428480.

The previous prime is 9921486959. The next prime is 9921486973. The reversal of 9921486960 is 696841299.

9921486960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 9921486897 and 9921486906.

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 255 ways as a sum of consecutive naturals, for example, 342120226 + ... + 342120254.

It is an arithmetic number, because the mean of its divisors is an integer number (36761040).

Almost surely, 2^9921486960 is an apocalyptic number.

9921486960 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 9921486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23527065600).

9921486960 is an abundant number, since it is smaller than the sum of its proper divisors (37132644240).

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

9921486960 is a wasteful number, since it uses less digits than its factorization.

9921486960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 9921486960 is about 99606.6612230327. The cubic root of 9921486960 is about 2148.7814952332.

The spelling of 9921486960 in words is "nine billion, nine hundred twenty-one million, four hundred eighty-six thousand, nine hundred sixty".