9905660016 has 80 divisors (see below), whose sum is σ = 29384095488. Its totient is φ = 2816755200.

The previous prime is 9905660003. The next prime is 9905660027. The reversal of 9905660016 is 6100665099.

It is a super-2 number, since 2×9905660016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 9905660016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1036 + ... + 140756.

Almost surely, 2^9905660016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9905660016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692047744).

9905660016 is an abundant number, since it is smaller than the sum of its proper divisors (19478435472).

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

9905660016 is a wasteful number, since it uses less digits than its factorization.

9905660016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139950 (or 139944 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 9905660016 is about 99527.1822970991. The cubic root of 9905660016 is about 2147.6382948131.

The spelling of 9905660016 in words is "nine billion, nine hundred five million, six hundred sixty thousand, sixteen".