20357867761 has 81 divisors (see below), whose sum is σ = 27907457697. Its totient is φ = 14793166080.

The previous prime is 20357867753. The next prime is 20357867767. The reversal of 20357867761 is 16776875302.

The square root of 20357867761 is 142681.

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 4643741025 + 15714126736 = 68145^2 + 125356^2 .

It is not a de Polignac number, because 20357867761 - 2³ = 20357867753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20357867699 and 20357867708.

It is not an unprimeable number, because it can be changed into a prime (20357867767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 186769375 + ... + 186769483.

Almost surely, 2^20357867761 is an apocalyptic number.

20357867761 is the 142681-st square number.

20357867761 is the 71341-st centered octagonal number.

It is an amenable number.

20357867761 is a deficient number, since it is larger than the sum of its proper divisors (7549589936).

20357867761 is a wasteful number, since it uses less digits than its factorization.

20357867761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 20357867761 in words is "twenty billion, three hundred fifty-seven million, eight hundred sixty-seven thousand, seven hundred sixty-one".