10256755769 has 32 divisors (see below), whose sum is σ = 12314158080. Its totient is φ = 8451127872.

The previous prime is 10256755753. The next prime is 10256755811. The reversal of 10256755769 is 96755765201.

It is a happy number.

10256755769 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 not a de Polignac number, because 10256755769 - 2⁴ = 10256755753 is a prime.

It is a super-2 number, since 2×10256755769² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10256755769.

It is not an unprimeable number, because it can be changed into a prime (10256752769) 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 31 ways as a sum of consecutive naturals, for example, 367154 + ... + 394100.

It is an arithmetic number, because the mean of its divisors is an integer number (384817440).

Almost surely, 2^10256755769 is an apocalyptic number.

10256755769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10256755769 is a deficient number, since it is larger than the sum of its proper divisors (2057402311).

10256755769 is a wasteful number, since it uses less digits than its factorization.

10256755769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27069.

The product of its (nonzero) digits is 3969000, while the sum is 53.

The spelling of 10256755769 in words is "ten billion, two hundred fifty-six million, seven hundred fifty-five thousand, seven hundred sixty-nine".