172896871680 has 576 divisors, whose sum is σ = 669037501440. Its totient is φ = 42550272000.

The previous prime is 172896871673. The next prime is 172896871691. The reversal of 172896871680 is 86178698271.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×172896871680⁴ (a number of 46 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36389305 + ... + 36394055.

It is an arithmetic number, because the mean of its divisors is an integer number (1161523440).

Almost surely, 2^172896871680 is an apocalyptic number.

172896871680 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 172896871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334518750720).

172896871680 is an abundant number, since it is smaller than the sum of its proper divisors (496140629760).

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

172896871680 is an frugal number, since it uses more digits than its factorization.

172896871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 172896871680 in words is "one hundred seventy-two billion, eight hundred ninety-six million, eight hundred seventy-one thousand, six hundred eighty".