1729820353800 has 1152 divisors, whose sum is σ = 7133174876160. Its totient is φ = 342255513600.

The previous prime is 1729820353757. The next prime is 1729820353829. The reversal of 1729820353800 is 83530289271.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1729820353800.

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 287 ways as a sum of consecutive naturals, for example, 2328156229 + ... + 2328156971.

It is an arithmetic number, because the mean of its divisors is an integer number (6191992080).

Almost surely, 2^{1729820353800} is an apocalyptic number.

1729820353800 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 1729820353800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566587438080).

1729820353800 is an abundant number, since it is smaller than the sum of its proper divisors (5403354522360).

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

1729820353800 is a wasteful number, since it uses less digits than its factorization.

1729820353800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1729820353800 in words is "one trillion, seven hundred twenty-nine billion, eight hundred twenty million, three hundred fifty-three thousand, eight hundred".