16090428672 has 216 divisors, whose sum is σ = 48219411240. Its totient is φ = 5154078720.

The previous prime is 16090428667. The next prime is 16090428733. The reversal of 16090428672 is 27682409061.

It is a happy number.

16090428672 is a `hidden beast` number, since 160 + 9 + 0 + 428 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7481558016 + 8608870656 = 86496^2 + 92784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18774868 + ... + 18775724.

It is an arithmetic number, because the mean of its divisors is an integer number (223238015).

Almost surely, 2^16090428672 is an apocalyptic number.

16090428672 is a gapful number since it is divisible by the number (12) 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 16090428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24109705620).

16090428672 is an abundant number, since it is smaller than the sum of its proper divisors (32128982568).

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

16090428672 is a wasteful number, since it uses less digits than its factorization.

16090428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16090428672 in words is "sixteen billion, ninety million, four hundred twenty-eight thousand, six hundred seventy-two".