1728099831040 has 288 divisors, whose sum is σ = 4727045578752. Its totient is φ = 599553024000.

The previous prime is 1728099831023. The next prime is 1728099831061. The reversal of 1728099831040 is 401389908271.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30962199 + ... + 31017961.

It is an arithmetic number, because the mean of its divisors is an integer number (16413352704).

Almost surely, 2^{1728099831040} is an apocalyptic number.

1728099831040 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 1728099831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363522789376).

1728099831040 is an abundant number, since it is smaller than the sum of its proper divisors (2998945747712).

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

1728099831040 is a wasteful number, since it uses less digits than its factorization.

1728099831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55897 (or 55883 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 1728099831040 in words is "one trillion, seven hundred twenty-eight billion, ninety-nine million, eight hundred thirty-one thousand, forty".