172945206000 has 600 divisors, whose sum is σ = 726714598896. Its totient is φ = 39528518400.

The previous prime is 172945205989. The next prime is 172945206001. The reversal of 172945206000 is 602549271.

172945206000 is a `hidden beast` number, since 1 + 7 + 2 + 9 + 45 + 2 + 0 + 600 + 0 = 666.

172945206000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172945206001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7927107 + ... + 7948893.

Almost surely, 2^172945206000 is an apocalyptic number.

172945206000 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 172945206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363357299448).

172945206000 is an abundant number, since it is smaller than the sum of its proper divisors (553769392896).

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

172945206000 is a wasteful number, since it uses less digits than its factorization.

172945206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21836 (or 21804 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 172945206000 in words is "one hundred seventy-two billion, nine hundred forty-five million, two hundred six thousand".