172227965829120 has 1080 divisors, whose sum is σ = 638169714524160. Its totient is φ = 42954215915520.

The previous prime is 172227965829091. The next prime is 172227965829137. The reversal of 172227965829120 is 21928569722271.

172227965829120 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 27 + 9 + 6 + 582 + 9 + 1 + 20 = 666.

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 71 ways as a sum of consecutive naturals, for example, 21026484225 + ... + 21026492415.

Almost surely, 2^{172227965829120} is an apocalyptic number.

172227965829120 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 172227965829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319084857262080).

172227965829120 is an abundant number, since it is smaller than the sum of its proper divisors (465941748695040).

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

172227965829120 is an equidigital number, since it uses as much as digits as its factorization.

172227965829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 172227965829120 in words is "one hundred seventy-two trillion, two hundred twenty-seven billion, nine hundred sixty-five million, eight hundred twenty-nine thousand, one hundred twenty".