172117262007 has 24 divisors (see below), whose sum is σ = 251731404288. Its totient is φ = 113311896000.

The previous prime is 172117262003. The next prime is 172117262039. The reversal of 172117262007 is 700262711271.

172117262007 is a `hidden beast` number, since 1 + 7 + 21 + 1 + 7 + 2 + 620 + 0 + 7 = 666.

It is not a de Polignac number, because 172117262007 - 2² = 172117262003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172117262003) 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 23 ways as a sum of consecutive naturals, for example, 100957 + ... + 595337.

It is an arithmetic number, because the mean of its divisors is an integer number (10488808512).

Almost surely, 2^172117262007 is an apocalyptic number.

172117262007 is a deficient number, since it is larger than the sum of its proper divisors (79614142281).

172117262007 is a wasteful number, since it uses less digits than its factorization.

172117262007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494871 (or 494868 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

Adding to 172117262007 its reverse (700262711271), we get a palindrome (872379973278).

The spelling of 172117262007 in words is "one hundred seventy-two billion, one hundred seventeen million, two hundred sixty-two thousand, seven".