1605332201520 has 160 divisors (see below), whose sum is σ = 5195151489024. Its totient is φ = 409298560000.

The previous prime is 1605332201401. The next prime is 1605332201591. The reversal of 1605332201520 is 251022335061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12915670 + ... + 13039370.

Almost surely, 2^{1605332201520} is an apocalyptic number.

1605332201520 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 1605332201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597575744512).

1605332201520 is an abundant number, since it is smaller than the sum of its proper divisors (3589819287504).

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

1605332201520 is a wasteful number, since it uses less digits than its factorization.

1605332201520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126091 (or 126085 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 1605332201520 its reverse (251022335061), we get a palindrome (1856354536581).

The spelling of 1605332201520 in words is "one trillion, six hundred five billion, three hundred thirty-two million, two hundred one thousand, five hundred twenty".