16005035808 has 96 divisors (see below), whose sum is σ = 47049246720. Its totient is φ = 5292967680.

The previous prime is 16005035789. The next prime is 16005035843. The reversal of 16005035808 is 80853050061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16005035808² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36798 + ... + 182658.

It is an arithmetic number, because the mean of its divisors is an integer number (490096320).

Almost surely, 2^16005035808 is an apocalyptic number.

16005035808 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 16005035808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23524623360).

16005035808 is an abundant number, since it is smaller than the sum of its proper divisors (31044210912).

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

16005035808 is a wasteful number, since it uses less digits than its factorization.

16005035808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146007 (or 145993 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 16005035808 its reverse (80853050061), we get a palindrome (96858085869).

The spelling of 16005035808 in words is "sixteen billion, five million, thirty-five thousand, eight hundred eight".