10438785936 has 90 divisors (see below), whose sum is σ = 29355257490. Its totient is φ = 3462842880.

The previous prime is 10438785901. The next prime is 10438785943. The reversal of 10438785936 is 63958783401.

10438785936 is a `hidden beast` number, since 1 + 0 + 43 + 8 + 7 + 8 + 593 + 6 = 666.

10438785936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 66585600 + 10372200336 = 8160^2 + 101844^2 .

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 17 ways as a sum of consecutive naturals, for example, 24795006 + ... + 24795426.

Almost surely, 2^10438785936 is an apocalyptic number.

10438785936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10438785936 is an abundant number, since it is smaller than the sum of its proper divisors (18916471554).

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

10438785936 is an equidigital number, since it uses as much as digits as its factorization.

10438785936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10438785936 in words is "ten billion, four hundred thirty-eight million, seven hundred eighty-five thousand, nine hundred thirty-six".