9999605952 has 224 divisors, whose sum is σ = 33693811200. Its totient is φ = 2848766976.

The previous prime is 9999605951. The next prime is 9999605963. The reversal of 9999605952 is 2595069999.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9999605952.

It is not an unprimeable number, because it can be changed into a prime (9999605951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5067238 + ... + 5069210.

It is an arithmetic number, because the mean of its divisors is an integer number (150418800).

Almost surely, 2^9999605952 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 9999605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846905600).

9999605952 is an abundant number, since it is smaller than the sum of its proper divisors (23694205248).

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

9999605952 is a wasteful number, since it uses less digits than its factorization.

9999605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 17714700, while the sum is 63.

The square root of 9999605952 is about 99998.0297405904. The cubic root of 9999605952 is about 2154.4063913042.

The spelling of 9999605952 in words is "nine billion, nine hundred ninety-nine million, six hundred five thousand, nine hundred fifty-two".