10936432512 has 256 divisors, whose sum is σ = 33259507200. Its totient is φ = 3536400384.

The previous prime is 10936432511. The next prime is 10936432597. The reversal of 10936432512 is 21523463901.

10936432512 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 643 + 2 + 5 + 1 + 2 = 666.

10936432512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10936432511) 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 31 ways as a sum of consecutive naturals, for example, 16902973 + ... + 16903619.

It is an arithmetic number, because the mean of its divisors is an integer number (129919950).

Almost surely, 2^10936432512 is an apocalyptic number.

10936432512 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 10936432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16629753600).

10936432512 is an abundant number, since it is smaller than the sum of its proper divisors (22323074688).

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

10936432512 is an equidigital number, since it uses as much as digits as its factorization.

10936432512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10936432512 in words is "ten billion, nine hundred thirty-six million, four hundred thirty-two thousand, five hundred twelve".