172220180564544 has 224 divisors, whose sum is σ = 522356158679040. Its totient is φ = 49055095836672.

The previous prime is 172220180564527. The next prime is 172220180564557. The reversal of 172220180564544 is 445465081022271.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 2839684429 + ... + 2839745075.

It is an arithmetic number, because the mean of its divisors is an integer number (2331947136960).

Almost surely, 2^{172220180564544} is an apocalyptic number.

172220180564544 is a gapful number since it is divisible by the number (14) 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 172220180564544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261178079339520).

172220180564544 is an abundant number, since it is smaller than the sum of its proper divisors (350135978114496).

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

172220180564544 is a wasteful number, since it uses less digits than its factorization.

172220180564544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67105 (or 67095 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 172220180564544 in words is "one hundred seventy-two trillion, two hundred twenty billion, one hundred eighty million, five hundred sixty-four thousand, five hundred forty-four".