16828400500 has 24 divisors (see below), whose sum is σ = 36753227784. Its totient is φ = 6731360000.

The previous prime is 16828400489. The next prime is 16828400507. The reversal of 16828400500 is 500482861.

16828400500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3138464484 + 13689936016 = 56022^2 + 117004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16828400507) 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 7 ways as a sum of consecutive naturals, for example, 16827901 + ... + 16828900.

It is an arithmetic number, because the mean of its divisors is an integer number (1531384491).

Almost surely, 2^16828400500 is an apocalyptic number.

16828400500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16828400500 is an abundant number, since it is smaller than the sum of its proper divisors (19924827284).

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

16828400500 is a wasteful number, since it uses less digits than its factorization.

16828400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33656820 (or 33656808 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 16828400500 in words is "sixteen billion, eight hundred twenty-eight million, four hundred thousand, five hundred".