16082024800 has 72 divisors (see below), whose sum is σ = 39358933992. Its totient is φ = 6416640000.

The previous prime is 16082024773. The next prime is 16082024801. The reversal of 16082024800 is 842028061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16082024801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295735 + ... + 345865.

It is an arithmetic number, because the mean of its divisors is an integer number (546651861).

Almost surely, 2^16082024800 is an apocalyptic number.

16082024800 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 16082024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679466996).

16082024800 is an abundant number, since it is smaller than the sum of its proper divisors (23276909192).

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

16082024800 is a wasteful number, since it uses less digits than its factorization.

16082024800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50552 (or 50539 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 16082024800 in words is "sixteen billion, eighty-two million, twenty-four thousand, eight hundred".