1728886256640 has 704 divisors, whose sum is σ = 6493385318400. Its totient is φ = 435345850368.

The previous prime is 1728886256627. The next prime is 1728886256641. The reversal of 1728886256640 is 466526888271.

1728886256640 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 8 + 8 + 62 + 566 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728886256641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251178639 + ... + 251185521.

Almost surely, 2^{1728886256640} is an apocalyptic number.

1728886256640 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 1728886256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246692659200).

1728886256640 is an abundant number, since it is smaller than the sum of its proper divisors (4764499061760).

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

1728886256640 is a wasteful number, since it uses less digits than its factorization.

1728886256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 1728886256640 in words is "one trillion, seven hundred twenty-eight billion, eight hundred eighty-six million, two hundred fifty-six thousand, six hundred forty".