10009785385 has 16 divisors (see below), whose sum is σ = 12758983056. Its totient is φ = 7512680448.

The previous prime is 10009785367. The next prime is 10009785391. The reversal of 10009785385 is 58358790001.

It can be written as a sum of positive squares in 8 ways, for example, as 8185321 + 10001600064 = 2861^2 + 100008^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009785385 - 2²¹ = 10007688233 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 161514 + ... + 214723.

It is an arithmetic number, because the mean of its divisors is an integer number (797436441).

Almost surely, 2^10009785385 is an apocalyptic number.

It is an amenable number.

10009785385 is a deficient number, since it is larger than the sum of its proper divisors (2749197671).

10009785385 is a wasteful number, since it uses less digits than its factorization.

10009785385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376572.

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 10009785385 in words is "ten billion, nine million, seven hundred eighty-five thousand, three hundred eighty-five".