16053410016 has 288 divisors, whose sum is σ = 54752495616. Its totient is φ = 4364928000.

The previous prime is 16053410011. The next prime is 16053410017. The reversal of 16053410016 is 61001435061.

16053410016 is a `hidden beast` number, since 1 + 605 + 3 + 41 + 0 + 0 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16053410011) 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, 3810151 + ... + 3814361.

It is an arithmetic number, because the mean of its divisors is an integer number (190112832).

Almost surely, 2^16053410016 is an apocalyptic number.

16053410016 is a gapful number since it is divisible by the number (16) 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 16053410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27376247808).

16053410016 is an abundant number, since it is smaller than the sum of its proper divisors (38699085600).

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

16053410016 is a wasteful number, since it uses less digits than its factorization.

16053410016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 16053410016 its reverse (61001435061), we get a palindrome (77054845077).

The spelling of 16053410016 in words is "sixteen billion, fifty-three million, four hundred ten thousand, sixteen".