172167372735680 has 224 divisors, whose sum is σ = 484691195768832. Its totient is φ = 57002324889600.

The previous prime is 172167372735653. The next prime is 172167372735731. The reversal of 172167372735680 is 86537273761271.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 29773910 + ... + 35083050.

Almost surely, 2^{172167372735680} is an apocalyptic number.

172167372735680 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 172167372735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242345597884416).

172167372735680 is an abundant number, since it is smaller than the sum of its proper divisors (312523823033152).

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

172167372735680 is a wasteful number, since it uses less digits than its factorization.

172167372735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309663 (or 5309653 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 65.

The spelling of 172167372735680 in words is "one hundred seventy-two trillion, one hundred sixty-seven billion, three hundred seventy-two million, seven hundred thirty-five thousand, six hundred eighty".