172289460967680 has 864 divisors, whose sum is σ = 686488344393600. Its totient is φ = 36603832172544.

The previous prime is 172289460967601. The next prime is 172289460967697. The reversal of 172289460967680 is 86769064982271.

172289460967680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189022476 + ... + 189931764.

It is an arithmetic number, because the mean of its divisors is an integer number (794546694900).

Almost surely, 2^{172289460967680} is an apocalyptic number.

172289460967680 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 172289460967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343244172196800).

172289460967680 is an abundant number, since it is smaller than the sum of its proper divisors (514198883425920).

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

172289460967680 is a wasteful number, since it uses less digits than its factorization.

172289460967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909399 (or 909378 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 75.

The spelling of 172289460967680 in words is "one hundred seventy-two trillion, two hundred eighty-nine billion, four hundred sixty million, nine hundred sixty-seven thousand, six hundred eighty".