1609365889680 has 240 divisors, whose sum is σ = 5103314616960. Its totient is φ = 419549487104.

The previous prime is 1609365889679. The next prime is 1609365889709. The reversal of 1609365889680 is 869885639061.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 851966176 + ... + 851968064.

It is an arithmetic number, because the mean of its divisors is an integer number (21263810904).

Almost surely, 2^{1609365889680} is an apocalyptic number.

1609365889680 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 1609365889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551657308480).

1609365889680 is an abundant number, since it is smaller than the sum of its proper divisors (3493948727280).

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

1609365889680 is a wasteful number, since it uses less digits than its factorization.

1609365889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 1609365889680 in words is "one trillion, six hundred nine billion, three hundred sixty-five million, eight hundred eighty-nine thousand, six hundred eighty".