16105438008 has 320 divisors, whose sum is σ = 52324272000. Its totient is φ = 4576953600.

The previous prime is 16105438003. The next prime is 16105438009. The reversal of 16105438008 is 80083450161.

16105438008 is a `hidden beast` number, since 1 + 610 + 5 + 4 + 38 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16105438003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14761543 + ... + 14762633.

It is an arithmetic number, because the mean of its divisors is an integer number (163513350).

Almost surely, 2^16105438008 is an apocalyptic number.

16105438008 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 16105438008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26162136000).

16105438008 is an abundant number, since it is smaller than the sum of its proper divisors (36218833992).

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

16105438008 is a wasteful number, since it uses less digits than its factorization.

16105438008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 16105438008 its reverse (80083450161), we get a palindrome (96188888169).

The spelling of 16105438008 in words is "sixteen billion, one hundred five million, four hundred thirty-eight thousand, eight".