9905938169760 has 480 divisors, whose sum is σ = 37072873696320. Its totient is φ = 2482387181568.

The previous prime is 9905938169759. The next prime is 9905938169797. The reversal of 9905938169760 is 679618395099.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×9905938169760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145156767 + ... + 145224993.

It is an arithmetic number, because the mean of its divisors is an integer number (77235153534).

Almost surely, 2^{9905938169760} is an apocalyptic number.

9905938169760 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 9905938169760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536436848160).

9905938169760 is an abundant number, since it is smaller than the sum of its proper divisors (27166935526560).

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

9905938169760 is a wasteful number, since it uses less digits than its factorization.

9905938169760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68930 (or 68913 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 9905938169760 in words is "nine trillion, nine hundred five billion, nine hundred thirty-eight million, one hundred sixty-nine thousand, seven hundred sixty".