16825798080 has 1344 divisors, whose sum is σ = 78106828800. Its totient is φ = 3224862720.

The previous prime is 16825798069. The next prime is 16825798081. The reversal of 16825798080 is 8089752861.

16825798080 is a `hidden beast` number, since 1 + 68 + 2 + 579 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16825798081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154365066 + ... + 154365174.

It is an arithmetic number, because the mean of its divisors is an integer number (58115200).

Almost surely, 2^16825798080 is an apocalyptic number.

16825798080 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 16825798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39053414400).

16825798080 is an abundant number, since it is smaller than the sum of its proper divisors (61281030720).

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

16825798080 is a wasteful number, since it uses less digits than its factorization.

16825798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 16825798080 in words is "sixteen billion, eight hundred twenty-five million, seven hundred ninety-eight thousand, eighty".