20664566664600 has 384 divisors, whose sum is σ = 67262244940800. Its totient is φ = 5238133401600.

The previous prime is 20664566664589. The next prime is 20664566664629. The reversal of 20664566664600 is 646666546602.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5967242469 + ... + 5967245931.

It is an arithmetic number, because the mean of its divisors is an integer number (175162096200).

Almost surely, 2^{20664566664600} is an apocalyptic number.

20664566664600 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 20664566664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33631122470400).

20664566664600 is an abundant number, since it is smaller than the sum of its proper divisors (46597678276200).

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

20664566664600 is a wasteful number, since it uses less digits than its factorization.

20664566664600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 57.

The spelling of 20664566664600 in words is "twenty trillion, six hundred sixty-four billion, five hundred sixty-six million, six hundred sixty-four thousand, six hundred".