1601504105808 has 160 divisors (see below), whose sum is σ = 4488432721920. Its totient is φ = 490596226560.

The previous prime is 1601504105783. The next prime is 1601504105813. The reversal of 1601504105808 is 8085014051061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4588810 + ... + 4925462.

It is an arithmetic number, because the mean of its divisors is an integer number (28052704512).

Almost surely, 2^{1601504105808} 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 1601504105808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244216360960).

1601504105808 is an abundant number, since it is smaller than the sum of its proper divisors (2886928616112).

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

1601504105808 is a wasteful number, since it uses less digits than its factorization.

1601504105808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336857 (or 336851 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

Adding to 1601504105808 its reverse (8085014051061), we get a palindrome (9686518156869).

The spelling of 1601504105808 in words is "one trillion, six hundred one billion, five hundred four million, one hundred five thousand, eight hundred eight".