20566728000 has 1344 divisors, whose sum is σ = 93923461632. Its totient is φ = 4180377600.

The previous prime is 20566727999. The next prime is 20566728019. The reversal of 20566728000 is 82766502.

20566728000 is a `hidden beast` number, since 20 + 566 + 72 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281735964 + ... + 281736036.

It is an arithmetic number, because the mean of its divisors is an integer number (69883528).

Almost surely, 2^20566728000 is an apocalyptic number.

20566728000 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 20566728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46961730816).

20566728000 is an abundant number, since it is smaller than the sum of its proper divisors (73356733632).

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

20566728000 is a wasteful number, since it uses less digits than its factorization.

20566728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20566728000 in words is "twenty billion, five hundred sixty-six million, seven hundred twenty-eight thousand".