16505480337408 has 288 divisors, whose sum is σ = 48372431627520. Its totient is φ = 5420953681920.

The previous prime is 16505480337391. The next prime is 16505480337431. The reversal of 16505480337408 is 80473308450561.

16505480337408 is a `hidden beast` number, since 1 + 6 + 50 + 548 + 0 + 3 + 3 + 7 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2935348485 + ... + 2935354107.

It is an arithmetic number, because the mean of its divisors is an integer number (167959832040).

Almost surely, 2^{16505480337408} is an apocalyptic number.

16505480337408 is a gapful number since it is divisible by the number (18) 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 16505480337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24186215813760).

16505480337408 is an abundant number, since it is smaller than the sum of its proper divisors (31866951290112).

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

16505480337408 is a wasteful number, since it uses less digits than its factorization.

16505480337408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

Adding to 16505480337408 its reverse (80473308450561), we get a palindrome (96978788787969).

The spelling of 16505480337408 in words is "sixteen trillion, five hundred five billion, four hundred eighty million, three hundred thirty-seven thousand, four hundred eight".