10938131985 has 48 divisors (see below), whose sum is σ = 19900077120. Its totient is φ = 5120438400.

The previous prime is 10938131947. The next prime is 10938131989. The reversal of 10938131985 is 58913183901.

10938131985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10938131985 - 2²⁵ = 10904577553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10938131989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51271 + ... + 156540.

It is an arithmetic number, because the mean of its divisors is an integer number (414584940).

Almost surely, 2^10938131985 is an apocalyptic number.

10938131985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10938131985 is a deficient number, since it is larger than the sum of its proper divisors (8961945135).

10938131985 is a wasteful number, since it uses less digits than its factorization.

10938131985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207870 (or 207859 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 10938131985 in words is "ten billion, nine hundred thirty-eight million, one hundred thirty-one thousand, nine hundred eighty-five".