20117200617 has 24 divisors (see below), whose sum is σ = 30077578440. Its totient is φ = 12941510400.

The previous prime is 20117200603. The next prime is 20117200639. The reversal of 20117200617 is 71600271102.

20117200617 is a `hidden beast` number, since 20 + 1 + 1 + 7 + 20 + 0 + 617 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4577334336 + 15539866281 = 67656^2 + 124659^2 .

It is not a de Polignac number, because 20117200617 - 2¹² = 20117196521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20117200517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448663 + ... + 491459.

It is an arithmetic number, because the mean of its divisors is an integer number (1253232435).

Almost surely, 2^20117200617 is an apocalyptic number.

It is an amenable number.

20117200617 is a deficient number, since it is larger than the sum of its proper divisors (9960377823).

20117200617 is a wasteful number, since it uses less digits than its factorization.

20117200617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44633 (or 44630 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 20117200617 its reverse (71600271102), we get a palindrome (91717471719).

The spelling of 20117200617 in words is "twenty billion, one hundred seventeen million, two hundred thousand, six hundred seventeen".