20668559200 has 288 divisors, whose sum is σ = 55420702848. Its totient is φ = 7495680000.

The previous prime is 20668559189. The next prime is 20668559201. The reversal of 20668559200 is 295586602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20668559201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 56317417 + ... + 56317783.

It is an arithmetic number, because the mean of its divisors is an integer number (192432996).

Almost surely, 2^20668559200 is an apocalyptic number.

20668559200 is a gapful number since it is divisible by the number (20) 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 20668559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27710351424).

20668559200 is an abundant number, since it is smaller than the sum of its proper divisors (34752143648).

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

20668559200 is a wasteful number, since it uses less digits than its factorization.

20668559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 20668559200 in words is "twenty billion, six hundred sixty-eight million, five hundred fifty-nine thousand, two hundred".