1605973096560 has 640 divisors, whose sum is σ = 6433302528000. Its totient is φ = 322807726080.

The previous prime is 1605973096549. The next prime is 1605973096597. The reversal of 1605973096560 is 656903795061.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1605973096560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25644166 + ... + 25706714.

It is an arithmetic number, because the mean of its divisors is an integer number (10052035200).

Almost surely, 2^{1605973096560} is an apocalyptic number.

1605973096560 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 1605973096560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216651264000).

1605973096560 is an abundant number, since it is smaller than the sum of its proper divisors (4827329431440).

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

1605973096560 is a wasteful number, since it uses less digits than its factorization.

1605973096560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62649 (or 62643 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 57.

The spelling of 1605973096560 in words is "one trillion, six hundred five billion, nine hundred seventy-three million, ninety-six thousand, five hundred sixty".