171796427712 has 672 divisors, whose sum is σ = 661689100800. Its totient is φ = 42917548032.

The previous prime is 171796427711. The next prime is 171796427743. The reversal of 171796427712 is 217724697171.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171796427711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26886214 + ... + 26892602.

It is an arithmetic number, because the mean of its divisors is an integer number (984656400).

Almost surely, 2^171796427712 is an apocalyptic number.

171796427712 is a gapful number since it is divisible by the number (12) 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 171796427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330844550400).

171796427712 is an abundant number, since it is smaller than the sum of its proper divisors (489892673088).

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

171796427712 is a wasteful number, since it uses less digits than its factorization.

171796427712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455 (or 6433 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 54.

The spelling of 171796427712 in words is "one hundred seventy-one billion, seven hundred ninety-six million, four hundred twenty-seven thousand, seven hundred twelve".