16808135040 has 768 divisors, whose sum is σ = 65012613120. Its totient is φ = 4138573824.

The previous prime is 16808135039. The next prime is 16808135081. The reversal of 16808135040 is 4053180861.

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

It is a junction number, because it is equal to n+sod(n) for n = 16808134986 and 16808135004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132347457 + ... + 132347583.

It is an arithmetic number, because the mean of its divisors is an integer number (84651840).

Almost surely, 2^16808135040 is an apocalyptic number.

16808135040 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 16808135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32506306560).

16808135040 is an abundant number, since it is smaller than the sum of its proper divisors (48204478080).

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

16808135040 is a wasteful number, since it uses less digits than its factorization.

16808135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

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

The spelling of 16808135040 in words is "sixteen billion, eight hundred eight million, one hundred thirty-five thousand, forty".