172279672022016 has 1056 divisors, whose sum is σ = 579231818605440. Its totient is φ = 50797273153536.

The previous prime is 172279672021981. The next prime is 172279672022027. The reversal of 172279672022016 is 610220276972271.

172279672022016 is a `hidden beast` number, since 1 + 7 + 227 + 9 + 6 + 7 + 202 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7372133980 + ... + 7372157348.

It is an arithmetic number, because the mean of its divisors is an integer number (548514979740).

Almost surely, 2^{172279672022016} is an apocalyptic number.

172279672022016 is a gapful number since it is divisible by the number (16) 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 172279672022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289615909302720).

172279672022016 is an abundant number, since it is smaller than the sum of its proper divisors (406952146583424).

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

172279672022016 is a wasteful number, since it uses less digits than its factorization.

172279672022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23513 (or 23483 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 172279672022016 in words is "one hundred seventy-two trillion, two hundred seventy-nine billion, six hundred seventy-two million, twenty-two thousand, sixteen".