1705428832560 has 320 divisors, whose sum is σ = 5666283763200. Its totient is φ = 423051780096.

The previous prime is 1705428832537. The next prime is 1705428832561. The reversal of 1705428832560 is 652388245071.

It is not an unprimeable number, because it can be changed into a prime (1705428832561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 96841036 + ... + 96858644.

It is an arithmetic number, because the mean of its divisors is an integer number (17707136760).

Almost surely, 2^{1705428832560} is an apocalyptic number.

1705428832560 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 1705428832560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833141881600).

1705428832560 is an abundant number, since it is smaller than the sum of its proper divisors (3960854930640).

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

1705428832560 is a wasteful number, since it uses less digits than its factorization.

1705428832560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18028 (or 18022 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 1705428832560 in words is "one trillion, seven hundred five billion, four hundred twenty-eight million, eight hundred thirty-two thousand, five hundred sixty".