10939805858800 has 240 divisors, whose sum is σ = 32352051961152. Its totient is φ = 3461852160000.

The previous prime is 10939805858771. The next prime is 10939805858809. The reversal of 10939805858800 is 885850893901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10939805858809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473224842 + ... + 473247958.

Almost surely, 2^{10939805858800} is an apocalyptic number.

10939805858800 is a gapful number since it is divisible by the number (10) 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 10939805858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176025980576).

10939805858800 is an abundant number, since it is smaller than the sum of its proper divisors (21412246102352).

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

10939805858800 is a wasteful number, since it uses less digits than its factorization.

10939805858800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36156 (or 36145 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 64.

The spelling of 10939805858800 in words is "ten trillion, nine hundred thirty-nine billion, eight hundred five million, eight hundred fifty-eight thousand, eight hundred".