16828528851450 has 576 divisors, whose sum is σ = 51345673666560. Its totient is φ = 4081254128640.

The previous prime is 16828528851349. The next prime is 16828528851457. The reversal of 16828528851450 is 5415882582861.

16828528851450 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 8 + 52 + 88 + 51 + 450 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16828528851457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 766909179 + ... + 766931121.

It is an arithmetic number, because the mean of its divisors is an integer number (89141794560).

Almost surely, 2^{16828528851450} is an apocalyptic number.

16828528851450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16828528851450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25672836833280).

16828528851450 is an abundant number, since it is smaller than the sum of its proper divisors (34517144815110).

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

16828528851450 is a wasteful number, since it uses less digits than its factorization.

16828528851450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22113 (or 22096 counting only the distinct ones).

The product of its (nonzero) digits is 49152000, while the sum is 63.

The spelling of 16828528851450 in words is "sixteen trillion, eight hundred twenty-eight billion, five hundred twenty-eight million, eight hundred fifty-one thousand, four hundred fifty".