10577969159641 has 27 divisors (see below), whose sum is σ = 11864219829501. Its totient is φ = 9426487141344.

The previous prime is 10577969159509. The next prime is 10577969159683. The reversal of 10577969159641 is 14695196977501.

The square root of 10577969159641 is 3252379.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1356397976025 + 9221571183616 = 1164645^2 + 3036704^2 .

It is not a de Polignac number, because 10577969159641 - 2¹⁵ = 10577969126873 is a prime.

It is a super-2 number, since 2×10577969159641² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10577969159141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1226142570 + ... + 1226151196.

Almost surely, 2^{10577969159641} is an apocalyptic number.

10577969159641 is the 3252379-th square number.

10577969159641 is the 1626190-th centered octagonal number.

It is an amenable number.

10577969159641 is a deficient number, since it is larger than the sum of its proper divisors (1286250669860).

10577969159641 is an frugal number, since it uses more digits than its factorization.

10577969159641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17338 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 70.

The spelling of 10577969159641 in words is "ten trillion, five hundred seventy-seven billion, nine hundred sixty-nine million, one hundred fifty-nine thousand, six hundred forty-one".