172659626280001 has 81 divisors (see below), whose sum is σ = 219103592662017. Its totient is φ = 135639499922640.

The previous prime is 172659626279977. The next prime is 172659626280007. The reversal of 172659626280001 is 100082626956271.

The square root of 172659626280001 is 13140001.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 172659626280001 - 2¹¹ = 172659626277953 is a prime.

It is a super-2 number, since 2×172659626280001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172659626280007) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54176222530 + ... + 54176225716.

It is an arithmetic number, because the mean of its divisors is an integer number (2704982625457).

Almost surely, 2^{172659626280001} is an apocalyptic number.

172659626280001 is the 13140001-st square number.

172659626280001 is the 6570001-st centered octagonal number.

It is an amenable number.

172659626280001 is a deficient number, since it is larger than the sum of its proper divisors (46443966382016).

172659626280001 is an frugal number, since it uses more digits than its factorization.

172659626280001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 172659626280001 in words is "one hundred seventy-two trillion, six hundred fifty-nine billion, six hundred twenty-six million, two hundred eighty thousand, one".