10827681517171 has 16 divisors (see below), whose sum is σ = 11420739145728. Its totient is φ = 10250093188800.

The previous prime is 10827681517127. The next prime is 10827681517207. The reversal of 10827681517171 is 17171518672801.

It is a cyclic number.

It is not a de Polignac number, because 10827681517171 - 2²⁵ = 10827647962739 is a prime.

It is a super-3 number, since 3×10827681517171³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10827681517871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844876 + ... + 4729606.

It is an arithmetic number, because the mean of its divisors is an integer number (713796196608).

Almost surely, 2^{10827681517171} is an apocalyptic number.

10827681517171 is a deficient number, since it is larger than the sum of its proper divisors (593057628557).

10827681517171 is a wasteful number, since it uses less digits than its factorization.

10827681517171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886722.

The product of its (nonzero) digits is 1317120, while the sum is 55.

The spelling of 10827681517171 in words is "ten trillion, eight hundred twenty-seven billion, six hundred eighty-one million, five hundred seventeen thousand, one hundred seventy-one".