168172928040960 has 1632 divisors, whose sum is σ = 643876787473920. Its totient is φ = 41963155881984.

The previous prime is 168172928040899. The next prime is 168172928040961. The reversal of 168172928040960 is 69040829271861.

168172928040960 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 7 + 2 + 92 + 80 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is not an unprimeable number, because it can be changed into a prime (168172928040961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 383081840421 + ... + 383081840859.

Almost surely, 2^{168172928040960} is an apocalyptic number.

168172928040960 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 168172928040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321938393736960).

168172928040960 is an abundant number, since it is smaller than the sum of its proper divisors (475703859432960).

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

168172928040960 is an frugal number, since it uses more digits than its factorization.

168172928040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 168172928040960 in words is "one hundred sixty-eight trillion, one hundred seventy-two billion, nine hundred twenty-eight million, forty thousand, nine hundred sixty".