16938289280 has 256 divisors, whose sum is σ = 46758954240. Its totient is φ = 5806817280.

The previous prime is 16938289261. The next prime is 16938289297. The reversal of 16938289280 is 8298283961.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11819444 + ... + 11820876.

It is an arithmetic number, because the mean of its divisors is an integer number (182652165).

Almost surely, 2^16938289280 is an apocalyptic number.

16938289280 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 16938289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23379477120).

16938289280 is an abundant number, since it is smaller than the sum of its proper divisors (29820664960).

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

16938289280 is a wasteful number, since it uses less digits than its factorization.

16938289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The spelling of 16938289280 in words is "sixteen billion, nine hundred thirty-eight million, two hundred eighty-nine thousand, two hundred eighty".