10838682753 has 16 divisors (see below), whose sum is σ = 15272812800. Its totient is φ = 6818202000.

The previous prime is 10838682739. The next prime is 10838682761. The reversal of 10838682753 is 35728683801.

It is not a de Polignac number, because 10838682753 - 2⁵ = 10838682721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10838682696 and 10838682705.

It is not an unprimeable number, because it can be changed into a prime (10838682773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364483 + ... + 393096.

It is an arithmetic number, because the mean of its divisors is an integer number (954550800).

Almost surely, 2^10838682753 is an apocalyptic number.

It is an amenable number.

10838682753 is a deficient number, since it is larger than the sum of its proper divisors (4434130047).

10838682753 is a wasteful number, since it uses less digits than its factorization.

10838682753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757852.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 10838682753 in words is "ten billion, eight hundred thirty-eight million, six hundred eighty-two thousand, seven hundred fifty-three".