16482523337280 has 1344 divisors, whose sum is σ = 76222750076928. Its totient is φ = 3157187051520.

The previous prime is 16482523337249. The next prime is 16482523337299. The reversal of 16482523337280 is 8273332528461.

16482523337280 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 2 + 5 + 23 + 337 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 2372606767 + ... + 2372613713.

It is an arithmetic number, because the mean of its divisors is an integer number (56713355712).

Almost surely, 2^{16482523337280} is an apocalyptic number.

16482523337280 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 16482523337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38111375038464).

16482523337280 is an abundant number, since it is smaller than the sum of its proper divisors (59740226739648).

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

16482523337280 is a wasteful number, since it uses less digits than its factorization.

16482523337280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7811 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 16482523337280 in words is "sixteen trillion, four hundred eighty-two billion, five hundred twenty-three million, three hundred thirty-seven thousand, two hundred eighty".