16285900800 has 336 divisors, whose sum is σ = 58019411520. Its totient is φ = 4006871040.

The previous prime is 16285900793. The next prime is 16285900811. The reversal of 16285900800 is 800958261.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7986181 + ... + 7988219.

It is an arithmetic number, because the mean of its divisors is an integer number (172676820).

Almost surely, 2^16285900800 is an apocalyptic number.

16285900800 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 16285900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29009705760).

16285900800 is an abundant number, since it is smaller than the sum of its proper divisors (41733510720).

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

16285900800 is a wasteful number, since it uses less digits than its factorization.

16285900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 16285900800 in words is "sixteen billion, two hundred eighty-five million, nine hundred thousand, eight hundred".