10505577755 has 16 divisors (see below), whose sum is σ = 13698278400. Its totient is φ = 7705277280.

The previous prime is 10505577751. The next prime is 10505577767. The reversal of 10505577755 is 55777550501.

10505577755 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 10505577755 - 2² = 10505577751 is a prime.

It is a super-2 number, since 2×10505577755² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505577751) 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, 1780685 + ... + 1786574.

It is an arithmetic number, because the mean of its divisors is an integer number (856142400).

Almost surely, 2^10505577755 is an apocalyptic number.

10505577755 is a deficient number, since it is larger than the sum of its proper divisors (3192700645).

10505577755 is a wasteful number, since it uses less digits than its factorization.

10505577755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567314.

The product of its (nonzero) digits is 1071875, while the sum is 47.

The spelling of 10505577755 in words is "ten billion, five hundred five million, five hundred seventy-seven thousand, seven hundred fifty-five".