16808533560 has 768 divisors, whose sum is σ = 72090869760. Its totient is φ = 3426416640.

The previous prime is 16808533549. The next prime is 16808533571. The reversal of 16808533560 is 6533580861.

16808533560 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 85 + 3 + 3 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (16808533549) and next prime (16808533571).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27419814 + ... + 27420426.

It is an arithmetic number, because the mean of its divisors is an integer number (93868320).

Almost surely, 2^16808533560 is an apocalyptic number.

16808533560 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 16808533560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36045434880).

16808533560 is an abundant number, since it is smaller than the sum of its proper divisors (55282336200).

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

16808533560 is a wasteful number, since it uses less digits than its factorization.

16808533560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 16808533560 in words is "sixteen billion, eight hundred eight million, five hundred thirty-three thousand, five hundred sixty".