10938108672 has 144 divisors (see below), whose sum is σ = 32419884000. Its totient is φ = 3637702656.

The previous prime is 10938108653. The next prime is 10938108733. The reversal of 10938108672 is 27680183901.

It is a tau number, because it is divible by the number of its divisors (144).

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, 3516654 + ... + 3519762.

Almost surely, 2^10938108672 is an apocalyptic number.

10938108672 is a gapful number since it is divisible by the number (12) 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 10938108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209942000).

10938108672 is an abundant number, since it is smaller than the sum of its proper divisors (21481775328).

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

10938108672 is an equidigital number, since it uses as much as digits as its factorization.

10938108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10938108672 in words is "ten billion, nine hundred thirty-eight million, one hundred eight thousand, six hundred seventy-two".