171872145380760 has 192 divisors, whose sum is σ = 566762416416000. Its totient is φ = 41665205218560.

The previous prime is 171872145380669. The next prime is 171872145380801. The reversal of 171872145380760 is 67083541278171.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 171872145380694 and 171872145380703.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1435953637 + ... + 1436073323.

It is an arithmetic number, because the mean of its divisors is an integer number (2951887585500).

Almost surely, 2^{171872145380760} is an apocalyptic number.

171872145380760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171872145380760 is an abundant number, since it is smaller than the sum of its proper divisors (394890271035240).

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

171872145380760 is a wasteful number, since it uses less digits than its factorization.

171872145380760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218622 (or 218607 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 171872145380760 in words is "one hundred seventy-one trillion, eight hundred seventy-two billion, one hundred forty-five million, three hundred eighty thousand, seven hundred sixty".