20666089523200 has 288 divisors, whose sum is σ = 56571107654880. Its totient is φ = 7424383385600.

The previous prime is 20666089523153. The next prime is 20666089523231. The reversal of 20666089523200 is 232598066602.

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 23 ways as a sum of consecutive naturals, for example, 46524552 + ... + 46966648.

It is an arithmetic number, because the mean of its divisors is an integer number (196427457135).

Almost surely, 2^{20666089523200} is an apocalyptic number.

20666089523200 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 20666089523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28285553827440).

20666089523200 is an abundant number, since it is smaller than the sum of its proper divisors (35905018131680).

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

20666089523200 is a wasteful number, since it uses less digits than its factorization.

20666089523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442223 (or 442198 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 20666089523200 in words is "twenty trillion, six hundred sixty-six billion, eighty-nine million, five hundred twenty-three thousand, two hundred".