1665827829120 has 1024 divisors, whose sum is σ = 6767979724800. Its totient is φ = 339112230912.

The previous prime is 1665827829079. The next prime is 1665827829167. The reversal of 1665827829120 is 219287285661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 821008266 + ... + 821010294.

It is an arithmetic number, because the mean of its divisors is an integer number (6609355200).

Almost surely, 2^{1665827829120} is an apocalyptic number.

1665827829120 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 1665827829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383989862400).

1665827829120 is an abundant number, since it is smaller than the sum of its proper divisors (5102151895680).

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

1665827829120 is a wasteful number, since it uses less digits than its factorization.

1665827829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 1665827829120 in words is "one trillion, six hundred sixty-five billion, eight hundred twenty-seven million, eight hundred twenty-nine thousand, one hundred twenty".