10642689577 has 16 divisors (see below), whose sum is σ = 11857172992. Its totient is φ = 9486149760.

The previous prime is 10642689529. The next prime is 10642689599. The reversal of 10642689577 is 77598624601.

10642689577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10642689577 is a prime.

It is a super-2 number, since 2×10642689577² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10642689527) 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 15 ways as a sum of consecutive naturals, for example, 155278 + ... + 213064.

It is an arithmetic number, because the mean of its divisors is an integer number (741073312).

Almost surely, 2^10642689577 is an apocalyptic number.

It is an amenable number.

10642689577 is a deficient number, since it is larger than the sum of its proper divisors (1214483415).

10642689577 is a wasteful number, since it uses less digits than its factorization.

10642689577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58288.

The product of its (nonzero) digits is 5080320, while the sum is 55.

It can be divided in two parts, 1064268 and 9577, that added together give a triangular number (1073845 = T₁₄₆₅).

The spelling of 10642689577 in words is "ten billion, six hundred forty-two million, six hundred eighty-nine thousand, five hundred seventy-seven".