16775808000 has 528 divisors, whose sum is σ = 64591922304. Its totient is φ = 3785932800.

The previous prime is 16775807981. The next prime is 16775808001. The reversal of 16775808000 is 80857761.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (16775808001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212351961 + ... + 212352039.

Almost surely, 2^16775808000 is an apocalyptic number.

16775808000 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 16775808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32295961152).

16775808000 is an abundant number, since it is smaller than the sum of its proper divisors (47816114304).

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

16775808000 is an frugal number, since it uses more digits than its factorization.

16775808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 16775808000 in words is "sixteen billion, seven hundred seventy-five million, eight hundred eight thousand".