10939136544 has 144 divisors (see below), whose sum is σ = 35812603008. Its totient is φ = 3102575616.

The previous prime is 10939136531. The next prime is 10939136561. The reversal of 10939136544 is 44563193901.

10939136544 is a `hidden beast` number, since 1 + 0 + 93 + 9 + 13 + 6 + 544 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10939136544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256389 + ... + 295995.

It is an arithmetic number, because the mean of its divisors is an integer number (248698632).

Almost surely, 2^10939136544 is an apocalyptic number.

10939136544 is a gapful number since it is divisible by the number (14) 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 10939136544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17906301504).

10939136544 is an abundant number, since it is smaller than the sum of its proper divisors (24873466464).

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

10939136544 is a wasteful number, since it uses less digits than its factorization.

10939136544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39767 (or 39756 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

Adding to 10939136544 its product of nonzero digits (349920), we get a square (10939486464 = 104592²).

The spelling of 10939136544 in words is "ten billion, nine hundred thirty-nine million, one hundred thirty-six thousand, five hundred forty-four".