16288780224 has 224 divisors, whose sum is σ = 45281673216. Its totient is φ = 5163540480.

The previous prime is 16288780223. The next prime is 16288780247. The reversal of 16288780224 is 42208788261.

16288780224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16288780224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16288780223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69908812 + ... + 69909044.

Almost surely, 2^16288780224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16288780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22640836608).

16288780224 is an abundant number, since it is smaller than the sum of its proper divisors (28992892992).

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

16288780224 is a wasteful number, since it uses less digits than its factorization.

16288780224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 16288780224 in words is "sixteen billion, two hundred eighty-eight million, seven hundred eighty thousand, two hundred twenty-four".