172867685760 has 1920 divisors, whose sum is σ = 806823198720. Its totient is φ = 34488115200.

The previous prime is 172867685741. The next prime is 172867685813. The reversal of 172867685760 is 67586768271.

172867685760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 1361162817 + ... + 1361162943.

It is an arithmetic number, because the mean of its divisors is an integer number (420220416).

Almost surely, 2^172867685760 is an apocalyptic number.

172867685760 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 172867685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403411599360).

172867685760 is an abundant number, since it is smaller than the sum of its proper divisors (633955512960).

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

172867685760 is a wasteful number, since it uses less digits than its factorization.

172867685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 172867685760 in words is "one hundred seventy-two billion, eight hundred sixty-seven million, six hundred eighty-five thousand, seven hundred sixty".