9999000009968 has 80 divisors (see below), whose sum is σ = 20233487340000. Its totient is φ = 4780787536896.

The previous prime is 9999000009967. The next prime is 9999000010067. The reversal of 9999000009968 is 8699000009999.

9999000009968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9999000009968² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9999000009898 and 9999000009907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999000009967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215895998 + ... + 215942306.

It is an arithmetic number, because the mean of its divisors is an integer number (252918591750).

Almost surely, 2^{9999000009968} 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 9999000009968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116743670000).

9999000009968 is an abundant number, since it is smaller than the sum of its proper divisors (10234487330032).

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

9999000009968 is a wasteful number, since it uses less digits than its factorization.

9999000009968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50802 (or 50796 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 68.

The spelling of 9999000009968 in words is "nine trillion, nine hundred ninety-nine billion, nine thousand, nine hundred sixty-eight".