1728075509680 has 160 divisors (see below), whose sum is σ = 4512464183808. Its totient is φ = 611109273600.

The previous prime is 1728075509651. The next prime is 1728075509687. The reversal of 1728075509680 is 869055708271.

It is not an unprimeable number, because it can be changed into a prime (1728075509687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2850990 + ... + 3403570.

Almost surely, 2^{1728075509680} is an apocalyptic number.

1728075509680 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 1728075509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256232091904).

1728075509680 is an abundant number, since it is smaller than the sum of its proper divisors (2784388674128).

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

1728075509680 is a wasteful number, since it uses less digits than its factorization.

1728075509680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552735 (or 552729 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 58.

The spelling of 1728075509680 in words is "one trillion, seven hundred twenty-eight billion, seventy-five million, five hundred nine thousand, six hundred eighty".