10257585648 has 20 divisors (see below), whose sum is σ = 26498763048. Its totient is φ = 3419195200.

The previous prime is 10257585643. The next prime is 10257585649. The reversal of 10257585648 is 84658575201.

10257585648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10257585648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257585643) 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 3 ways as a sum of consecutive naturals, for example, 106849803 + ... + 106849898.

Almost surely, 2^10257585648 is an apocalyptic number.

It is an amenable number.

10257585648 is an abundant number, since it is smaller than the sum of its proper divisors (16241177400).

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

10257585648 is a wasteful number, since it uses less digits than its factorization.

10257585648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213699712 (or 213699706 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 10257585648 in words is "ten billion, two hundred fifty-seven million, five hundred eighty-five thousand, six hundred forty-eight".