10577642405 has 16 divisors (see below), whose sum is σ = 13850784000. Its totient is φ = 7690781760.

The previous prime is 10577642393. The next prime is 10577642407. The reversal of 10577642405 is 50424677501.

10577642405 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 10577642405 - 2²⁶ = 10510533541 is a prime.

It is a super-2 number, since 2×10577642405² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10577642407) 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, 200771 + ... + 247919.

It is an arithmetic number, because the mean of its divisors is an integer number (865674000).

Almost surely, 2^10577642405 is an apocalyptic number.

It is an amenable number.

10577642405 is a deficient number, since it is larger than the sum of its proper divisors (3273141595).

10577642405 is a wasteful number, since it uses less digits than its factorization.

10577642405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51244.

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 10577642405 in words is "ten billion, five hundred seventy-seven million, six hundred forty-two thousand, four hundred five".