172353504238080 has 640 divisors, whose sum is σ = 607951740312576. Its totient is φ = 41306809958400.

The previous prime is 172353504238057. The next prime is 172353504238093. The reversal of 172353504238080 is 80832405353271.

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

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 63 ways as a sum of consecutive naturals, for example, 4438306344 + ... + 4438345176.

Almost surely, 2^{172353504238080} is an apocalyptic number.

172353504238080 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 172353504238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303975870156288).

172353504238080 is an abundant number, since it is smaller than the sum of its proper divisors (435598236074496).

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

172353504238080 is a wasteful number, since it uses less digits than its factorization.

172353504238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39468 (or 39452 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 172353504238080 in words is "one hundred seventy-two trillion, three hundred fifty-three billion, five hundred four million, two hundred thirty-eight thousand, eighty".