172106256342000 has 640 divisors, whose sum is σ = 585817106734080. Its totient is φ = 43349967360000.

The previous prime is 172106256341947. The next prime is 172106256342001. The reversal of 172106256342000 is 243652601271.

It is a self number, because there is not a number n which added to its sum of digits gives 172106256342000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172106256342001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72283180810 + ... + 72283183190.

It is an arithmetic number, because the mean of its divisors is an integer number (915339229272).

Almost surely, 2^{172106256342000} is an apocalyptic number.

172106256342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172106256342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292908553367040).

172106256342000 is an abundant number, since it is smaller than the sum of its proper divisors (413710850392080).

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

172106256342000 is a wasteful number, since it uses less digits than its factorization.

172106256342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 172106256342000 in words is "one hundred seventy-two trillion, one hundred six billion, two hundred fifty-six million, three hundred forty-two thousand".