1728542185760 has 96 divisors (see below), whose sum is σ = 4403733143040. Its totient is φ = 637371399168.

The previous prime is 1728542185759. The next prime is 1728542185789. The reversal of 1728542185760 is 675812458271.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1728542185696 and 1728542185705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986201 + ... + 2104679.

It is an arithmetic number, because the mean of its divisors is an integer number (45872220240).

Almost surely, 2^{1728542185760} is an apocalyptic number.

1728542185760 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 1728542185760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201866571520).

1728542185760 is an abundant number, since it is smaller than the sum of its proper divisors (2675190957280).

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

1728542185760 is a wasteful number, since it uses less digits than its factorization.

1728542185760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119250 (or 1119242 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 56.

The spelling of 1728542185760 in words is "one trillion, seven hundred twenty-eight billion, five hundred forty-two million, one hundred eighty-five thousand, seven hundred sixty".