1605160242560 has 128 divisors (see below), whose sum is σ = 4401027129600. Its totient is φ = 548395554816.

The previous prime is 1605160242559. The next prime is 1605160242599. The reversal of 1605160242560 is 652420615061.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634811 + ... + 1900869.

It is an arithmetic number, because the mean of its divisors is an integer number (34383024450).

Almost surely, 2^{1605160242560} is an apocalyptic number.

1605160242560 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 1605160242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200513564800).

1605160242560 is an abundant number, since it is smaller than the sum of its proper divisors (2795866887040).

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

1605160242560 is a wasteful number, since it uses less digits than its factorization.

1605160242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266368 (or 1266356 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 1605160242560 in words is "one trillion, six hundred five billion, one hundred sixty million, two hundred forty-two thousand, five hundred sixty".