172825980327000 has 5760 divisors, whose sum is σ = 844455135888000. Its totient is φ = 31555560960000.

The previous prime is 172825980326933. The next prime is 172825980327047. The reversal of 172825980327000 is 723089528271.

172825980327000 is a `hidden beast` number, since 1 + 7 + 28 + 2 + 598 + 0 + 3 + 27 + 0 + 0 + 0 = 666.

172825980327000 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 polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 2434168736965 + ... + 2434168737035.

It is an arithmetic number, because the mean of its divisors is an integer number (146606794425).

Almost surely, 2^{172825980327000} is an apocalyptic number.

172825980327000 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 172825980327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422227567944000).

172825980327000 is an abundant number, since it is smaller than the sum of its proper divisors (671629155561000).

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

172825980327000 is a wasteful number, since it uses less digits than its factorization.

172825980327000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 172825980327000 in words is "one hundred seventy-two trillion, eight hundred twenty-five billion, nine hundred eighty million, three hundred twenty-seven thousand".