10936138825920 has 448 divisors, whose sum is σ = 43406235012096. Its totient is φ = 2266346373120.

The previous prime is 10936138825907. The next prime is 10936138825961. The reversal of 10936138825920 is 2952883163901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 27373842 + ... + 27770478.

Almost surely, 2^{10936138825920} is an apocalyptic number.

10936138825920 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 10936138825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703117506048).

10936138825920 is an abundant number, since it is smaller than the sum of its proper divisors (32470096186176).

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

10936138825920 is a wasteful number, since it uses less digits than its factorization.

10936138825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397048 (or 397038 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 10936138825920 in words is "ten trillion, nine hundred thirty-six billion, one hundred thirty-eight million, eight hundred twenty-five thousand, nine hundred twenty".