172317442560 has 640 divisors, whose sum is σ = 592477079040. Its totient is φ = 42630905856.

The previous prime is 172317442519. The next prime is 172317442571. The reversal of 172317442560 is 65244713271.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1524933064 + ... + 1524933176.

It is an arithmetic number, because the mean of its divisors is an integer number (925745436).

Almost surely, 2^172317442560 is an apocalyptic number.

172317442560 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 172317442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296238539520).

172317442560 is an abundant number, since it is smaller than the sum of its proper divisors (420159636480).

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

172317442560 is a wasteful number, since it uses less digits than its factorization.

172317442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 172317442560 in words is "one hundred seventy-two billion, three hundred seventeen million, four hundred forty-two thousand, five hundred sixty".