10766760169 has 9 divisors (see below), whose sum is σ = 11835792759. Its totient is φ = 9786926160.

The previous prime is 10766760167. The next prime is 10766760241. The reversal of 10766760169 is 96106766701.

The square root of 10766760169 is 103763.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7484845225 + 3281914944 = 86515^2 + 57288^2 .

It is not a de Polignac number, because 10766760169 - 2¹ = 10766760167 is a prime.

It is a super-2 number, since 2×10766760169² (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 (10766760163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1136677 + ... + 1146109.

Almost surely, 2^10766760169 is an apocalyptic number.

10766760169 is the 103763-rd square number.

10766760169 is the 51882-nd centered octagonal number.

It is an amenable number.

10766760169 is a deficient number, since it is larger than the sum of its proper divisors (1069032590).

10766760169 is an frugal number, since it uses more digits than its factorization.

10766760169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18888 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

Multiplying 10766760169 by its sum of digits (49), we get a square (527571248281 = 726341²).

The spelling of 10766760169 in words is "ten billion, seven hundred sixty-six million, seven hundred sixty thousand, one hundred sixty-nine".