16285747800 has 288 divisors, whose sum is σ = 58930156800. Its totient is φ = 3709681920.

The previous prime is 16285747789. The next prime is 16285747817. The reversal of 16285747800 is 874758261.

16285747800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16285747800.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10553829 + ... + 10555371.

It is an arithmetic number, because the mean of its divisors is an integer number (204618600).

Almost surely, 2^16285747800 is an apocalyptic number.

16285747800 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 16285747800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29465078400).

16285747800 is an abundant number, since it is smaller than the sum of its proper divisors (42644409000).

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

16285747800 is a wasteful number, since it uses less digits than its factorization.

16285747800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 16285747800 in words is "sixteen billion, two hundred eighty-five million, seven hundred forty-seven thousand, eight hundred".