1728207609856 has 896 divisors, whose sum is σ = 4794098835456. Its totient is φ = 603602288640.

The previous prime is 1728207609847. The next prime is 1728207609889. The reversal of 1728207609856 is 6589067028271.

It is a tau number, because it is divible by the number of its divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 1728207609794 and 1728207609803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20821778391 + ... + 20821778473.

It is an arithmetic number, because the mean of its divisors is an integer number (5350556736).

Almost surely, 2^{1728207609856} is an apocalyptic number.

1728207609856 is a gapful number since it is divisible by the number (16) 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 1728207609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397049417728).

1728207609856 is an abundant number, since it is smaller than the sum of its proper divisors (3065891225600).

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

1728207609856 is a wasteful number, since it uses less digits than its factorization.

1728207609856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 1728207609856 in words is "one trillion, seven hundred twenty-eight billion, two hundred seven million, six hundred nine thousand, eight hundred fifty-six".