10626638125 has 40 divisors (see below), whose sum is σ = 13516598304. Its totient is φ = 8350680000.

The previous prime is 10626638111. The next prime is 10626638129. The reversal of 10626638125 is 52183662601.

10626638125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10626638125 - 2¹⁵ = 10626605357 is a prime.

It is a super-2 number, since 2×10626638125² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10626638129) 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 39 ways as a sum of consecutive naturals, for example, 8760019 + ... + 8761231.

Almost surely, 2^10626638125 is an apocalyptic number.

It is an amenable number.

10626638125 is a deficient number, since it is larger than the sum of its proper divisors (2889960179).

10626638125 is a wasteful number, since it uses less digits than its factorization.

10626638125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 10626638125 in words is "ten billion, six hundred twenty-six million, six hundred thirty-eight thousand, one hundred twenty-five".