1728016657920 has 1280 divisors, whose sum is σ = 7471664640000. Its totient is φ = 377683181568.

The previous prime is 1728016657847. The next prime is 1728016657963. The reversal of 1728016657920 is 297566108271.

1728016657920 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 0 + 1 + 66 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 545286096 + ... + 545289264.

It is an arithmetic number, because the mean of its divisors is an integer number (5837238000).

Almost surely, 2^{1728016657920} is an apocalyptic number.

1728016657920 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 1728016657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735832320000).

1728016657920 is an abundant number, since it is smaller than the sum of its proper divisors (5743647982080).

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

1728016657920 is an equidigital number, since it uses as much as digits as its factorization.

1728016657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1728016657920 in words is "one trillion, seven hundred twenty-eight billion, sixteen million, six hundred fifty-seven thousand, nine hundred twenty".