1728351488160 has 384 divisors, whose sum is σ = 6601652305920. Its totient is φ = 418836096000.

The previous prime is 1728351488137. The next prime is 1728351488173. The reversal of 1728351488160 is 618841538271.

1728351488160 is a `hidden beast` number, since 1 + 72 + 8 + 35 + 1 + 488 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1728351488097 and 1728351488106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170259085 + ... + 170269235.

It is an arithmetic number, because the mean of its divisors is an integer number (17191802880).

Almost surely, 2^{1728351488160} is an apocalyptic number.

1728351488160 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 1728351488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300826152960).

1728351488160 is an abundant number, since it is smaller than the sum of its proper divisors (4873300817760).

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

1728351488160 is a wasteful number, since it uses less digits than its factorization.

1728351488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1728351488160 in words is "one trillion, seven hundred twenty-eight billion, three hundred fifty-one million, four hundred eighty-eight thousand, one hundred sixty".