20664506016 has 576 divisors, whose sum is σ = 75554519040. Its totient is φ = 5203077120.

The previous prime is 20664505999. The next prime is 20664506081. The reversal of 20664506016 is 61060546602.

It is a happy number.

20664506016 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 45 + 0 + 601 + 6 = 666.

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

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, 189582570 + ... + 189582678.

It is an arithmetic number, because the mean of its divisors is an integer number (131171040).

Almost surely, 2^20664506016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20664506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37777259520).

20664506016 is an abundant number, since it is smaller than the sum of its proper divisors (54890013024).

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

20664506016 is a wasteful number, since it uses less digits than its factorization.

20664506016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20664506016 in words is "twenty billion, six hundred sixty-four million, five hundred six thousand, sixteen".