16824960000 has 660 divisors, whose sum is σ = 63845962752. Its totient is φ = 4257792000.

The previous prime is 16824959953. The next prime is 16824960001. The reversal of 16824960000 is 6942861.

16824960000 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 49 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16824960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 132479937 + ... + 132480063.

Almost surely, 2^16824960000 is an apocalyptic number.

16824960000 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 16824960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31922981376).

16824960000 is an abundant number, since it is smaller than the sum of its proper divisors (47021002752).

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

16824960000 is a wasteful number, since it uses less digits than its factorization.

16824960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16824960000 in words is "sixteen billion, eight hundred twenty-four million, nine hundred sixty thousand".