10887010405209 has 81 divisors (see below), whose sum is σ = 17269669223391. Its totient is φ = 6607540840320.

The previous prime is 10887010405189. The next prime is 10887010405211. The reversal of 10887010405209 is 90250401078801.

The square root of 10887010405209 is 3299547.

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

10887010405209 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 70 + 10 + 40 + 520 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8476046163225 + 2410964241984 = 2911365^2 + 1552728^2 .

It is not a de Polignac number, because 10887010405209 - 2⁷ = 10887010405081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10887010405309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5216582764 + ... + 5216584850.

Almost surely, 2^{10887010405209} is an apocalyptic number.

10887010405209 is the 3299547-th square number.

10887010405209 is the 1649774-th centered octagonal number.

It is an amenable number.

10887010405209 is a deficient number, since it is larger than the sum of its proper divisors (6382658818182).

10887010405209 is an frugal number, since it uses more digits than its factorization.

10887010405209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10887010405209 in words is "ten trillion, eight hundred eighty-seven billion, ten million, four hundred five thousand, two hundred nine".