1828971565680 has 480 divisors, whose sum is σ = 6646344606720. Its totient is φ = 414838609920.

The previous prime is 1828971565661. The next prime is 1828971565769. The reversal of 1828971565680 is 865651798281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1760318601 + ... + 1760319639.

It is an arithmetic number, because the mean of its divisors is an integer number (13846551264).

Almost surely, 2^{1828971565680} is an apocalyptic number.

1828971565680 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 1828971565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323172303360).

1828971565680 is an abundant number, since it is smaller than the sum of its proper divisors (4817373041040).

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

1828971565680 is a wasteful number, since it uses less digits than its factorization.

1828971565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 66.

The spelling of 1828971565680 in words is "one trillion, eight hundred twenty-eight billion, nine hundred seventy-one million, five hundred sixty-five thousand, six hundred eighty".