10759771083681 has 9 divisors (see below), whose sum is σ = 15541905779569. Its totient is φ = 7173174162036.

The previous prime is 10759771083673. The next prime is 10759771083683. The reversal of 10759771083681 is 18638017795701.

The square root of 10759771083681 is 3280209.

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

10759771083681 is a `hidden beast` number, since 1 + 0 + 7 + 597 + 7 + 1 + 0 + 8 + 36 + 8 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10759771083681 - 2³ = 10759771083673 is a prime.

It is a super-2 number, since 2×10759771083681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10759771083683) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9293926 + ... + 10387328.

Almost surely, 2^{10759771083681} is an apocalyptic number.

10759771083681 is the 3280209-th square number.

10759771083681 is the 1640105-th centered octagonal number.

It is an amenable number.

10759771083681 is a deficient number, since it is larger than the sum of its proper divisors (4782134695888).

10759771083681 is an frugal number, since it uses more digits than its factorization.

10759771083681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186812 (or 1093406 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 10759771083681 in words is "ten trillion, seven hundred fifty-nine billion, seven hundred seventy-one million, eighty-three thousand, six hundred eighty-one".