1785728725248 has 288 divisors, whose sum is σ = 5249570860800. Its totient is φ = 535493836800.

The previous prime is 1785728725223. The next prime is 1785728725271. The reversal of 1785728725248 is 8425278275871.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79890778 + ... + 79913126.

It is an arithmetic number, because the mean of its divisors is an integer number (18227676600).

Almost surely, 2^{1785728725248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1785728725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624785430400).

1785728725248 is an abundant number, since it is smaller than the sum of its proper divisors (3463842135552).

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

1785728725248 is a wasteful number, since it uses less digits than its factorization.

1785728725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585 (or 22571 counting only the distinct ones).

The product of its digits is 140492800, while the sum is 66.

The spelling of 1785728725248 in words is "one trillion, seven hundred eighty-five billion, seven hundred twenty-eight million, seven hundred twenty-five thousand, two hundred forty-eight".