10884957561 has 27 divisors (see below), whose sum is σ = 15952501669. Its totient is φ = 7152098712.

The previous prime is 10884957493. The next prime is 10884957571. The reversal of 10884957561 is 16575948801.

It is a happy number.

The square root of 10884957561 is 104331.

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

10884957561 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 4 + 9 + 575 + 61 = 666.

It is not a de Polignac number, because 10884957561 - 2⁹ = 10884957049 is a prime.

It is a super-2 number, since 2×10884957561² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10884957498 and 10884957507.

It is not an unprimeable number, because it can be changed into a prime (10884957571) 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, 25978210 + ... + 25978628.

Almost surely, 2^10884957561 is an apocalyptic number.

10884957561 is the 104331-st square number.

10884957561 is the 52166-th centered octagonal number.

It is an amenable number.

10884957561 is a deficient number, since it is larger than the sum of its proper divisors (5067544108).

10884957561 is an frugal number, since it uses more digits than its factorization.

10884957561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 10884957561 in words is "ten billion, eight hundred eighty-four million, nine hundred fifty-seven thousand, five hundred sixty-one".