10000000009968 has 40 divisors (see below), whose sum is σ = 27352941205968. Its totient is φ = 3137254904832.

The previous prime is 10000000009949. The next prime is 10000000009969. The reversal of 10000000009968 is 86990000000001.

It is a happy number.

It is a super-2 number, since 2×10000000009968² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000009969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6127450171 + ... + 6127451802.

Almost surely, 2^{10000000009968} is an apocalyptic number.

It is an amenable number.

10000000009968 is an abundant number, since it is smaller than the sum of its proper divisors (17352941196000).

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

10000000009968 is a wasteful number, since it uses less digits than its factorization.

10000000009968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254902001 (or 12254901995 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

Adding to 10000000009968 its reverse (86990000000001), we get a palindrome (96990000009969).

The spelling of 10000000009968 in words is "ten trillion, nine thousand, nine hundred sixty-eight".