20682165761 has 16 divisors (see below), whose sum is σ = 21401536464. Its totient is φ = 19971753984.

The previous prime is 20682165737. The next prime is 20682165821. The reversal of 20682165761 is 16756128602.

It can be written as a sum of positive squares in 8 ways, for example, as 1216614400 + 19465551361 = 34880^2 + 139519^2 .

It is a cyclic number.

It is not a de Polignac number, because 20682165761 - 2⁶ = 20682165697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20682167761) 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, 3152861 + ... + 3159413.

It is an arithmetic number, because the mean of its divisors is an integer number (1337596029).

Almost surely, 2^20682165761 is an apocalyptic number.

It is an amenable number.

20682165761 is a deficient number, since it is larger than the sum of its proper divisors (719370703).

20682165761 is a wasteful number, since it uses less digits than its factorization.

20682165761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7220.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 20682165761 in words is "twenty billion, six hundred eighty-two million, one hundred sixty-five thousand, seven hundred sixty-one".