172864513206 has 256 divisors, whose sum is σ = 506356531200. Its totient is φ = 42349651200.

The previous prime is 172864513181. The next prime is 172864513253. The reversal of 172864513206 is 602315468271.

172864513206 is a `hidden beast` number, since 1 + 7 + 286 + 45 + 1 + 320 + 6 = 666.

172864513206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 18402771 + ... + 18412161.

It is an arithmetic number, because the mean of its divisors is an integer number (1977955200).

Almost surely, 2^172864513206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172864513206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253178265600).

172864513206 is an abundant number, since it is smaller than the sum of its proper divisors (333492017994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172864513206 is a wasteful number, since it uses less digits than its factorization.

172864513206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 172864513206 in words is "one hundred seventy-two billion, eight hundred sixty-four million, five hundred thirteen thousand, two hundred six".