171720479289600 has 1944 divisors, whose sum is σ = 660390156965448. Its totient is φ = 42549156249600.

The previous prime is 171720479289473. The next prime is 171720479289631. The reversal of 171720479289600 is 6982974027171.

171720479289600 is a `hidden beast` number, since 1 + 7 + 1 + 7 + 20 + 479 + 2 + 89 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 68851227856896 + 102869251432704 = 8297664^2 + 10142448^2 .

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 215 ways as a sum of consecutive naturals, for example, 182487225130 + ... + 182487226070.

It is an arithmetic number, because the mean of its divisors is an integer number (339706870867).

Almost surely, 2^{171720479289600} is an apocalyptic number.

171720479289600 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 171720479289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330195078482724).

171720479289600 is an abundant number, since it is smaller than the sum of its proper divisors (488669677675848).

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

171720479289600 is a wasteful number, since it uses less digits than its factorization.

171720479289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 171720479289600 in words is "one hundred seventy-one trillion, seven hundred twenty billion, four hundred seventy-nine million, two hundred eighty-nine thousand, six hundred".