16889093000 has 128 divisors (see below), whose sum is σ = 42940890720. Its totient is φ = 6180249600.

The previous prime is 16889092949. The next prime is 16889093021. The reversal of 16889093000 is 39098861.

It can be written as a sum of positive squares in 16 ways, for example, as 6743365924 + 10145727076 = 82118^2 + 100726^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1463252 + ... + 1474748.

Almost surely, 2^16889093000 is an apocalyptic number.

16889093000 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 16889093000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21470445360).

16889093000 is an abundant number, since it is smaller than the sum of its proper divisors (26051797720).

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

16889093000 is a wasteful number, since it uses less digits than its factorization.

16889093000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644 (or 11630 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 16889093000 in words is "sixteen billion, eight hundred eighty-nine million, ninety-three thousand".