172985973216 has 144 divisors (see below), whose sum is σ = 534590388864. Its totient is φ = 48828976896.

The previous prime is 172985973203. The next prime is 172985973241. The reversal of 172985973216 is 612379589271.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 172985973216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168901 + ... + 611963.

It is an arithmetic number, because the mean of its divisors is an integer number (3712433256).

Almost surely, 2^172985973216 is an apocalyptic number.

172985973216 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 172985973216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267295194432).

172985973216 is an abundant number, since it is smaller than the sum of its proper divisors (361604415648).

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

172985973216 is a wasteful number, since it uses less digits than its factorization.

172985973216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443173 (or 443158 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 60.

The spelling of 172985973216 in words is "one hundred seventy-two billion, nine hundred eighty-five million, nine hundred seventy-three thousand, two hundred sixteen".