10260657564 has 48 divisors (see below), whose sum is σ = 25363584288. Its totient is φ = 3217287168.

The previous prime is 10260657559. The next prime is 10260657577. The reversal of 10260657564 is 46575606201.

10260657564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 393954 + ... + 419190.

It is an arithmetic number, because the mean of its divisors is an integer number (528408006).

Almost surely, 2^10260657564 is an apocalyptic number.

It is an amenable number.

10260657564 is an abundant number, since it is smaller than the sum of its proper divisors (15102926724).

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

10260657564 is a wasteful number, since it uses less digits than its factorization.

10260657564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27254 (or 27252 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 10260657564 in words is "ten billion, two hundred sixty million, six hundred fifty-seven thousand, five hundred sixty-four".