1605417020116 has 96 divisors (see below), whose sum is σ = 3531865897728. Its totient is φ = 621569894400.

The previous prime is 1605417020059. The next prime is 1605417020131. The reversal of 1605417020116 is 6110207145061.

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 31 ways as a sum of consecutive naturals, for example, 7632331 + ... + 7839853.

It is an arithmetic number, because the mean of its divisors is an integer number (36790269768).

Almost surely, 2^{1605417020116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1605417020116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765932948864).

1605417020116 is an abundant number, since it is smaller than the sum of its proper divisors (1926448877612).

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

1605417020116 is a wasteful number, since it uses less digits than its factorization.

1605417020116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208001 (or 207999 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 1605417020116 in words is "one trillion, six hundred five billion, four hundred seventeen million, twenty thousand, one hundred sixteen".