16504080824 has 192 divisors, whose sum is σ = 40769464320. Its totient is φ = 6187104000.

The previous prime is 16504080823. The next prime is 16504080829. The reversal of 16504080824 is 42808040561.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16504080823) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41571794 + ... + 41572190.

It is an arithmetic number, because the mean of its divisors is an integer number (212340960).

Almost surely, 2^16504080824 is an apocalyptic number.

16504080824 is a gapful number since it is divisible by the number (14) 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 16504080824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384732160).

16504080824 is an abundant number, since it is smaller than the sum of its proper divisors (24265383496).

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

16504080824 is a wasteful number, since it uses less digits than its factorization.

16504080824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 16504080824 in words is "sixteen billion, five hundred four million, eighty thousand, eight hundred twenty-four".