20576566080 has 840 divisors, whose sum is σ = 90247686408. Its totient is φ = 4421910528.

The previous prime is 20576566079. The next prime is 20576566121. The reversal of 20576566080 is 8066567502.

20576566080 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 6 + 566 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3536918784 + 17039647296 = 59472^2 + 130536^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21590884 + ... + 21591836.

Almost surely, 2^20576566080 is an apocalyptic number.

20576566080 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 20576566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45123843204).

20576566080 is an abundant number, since it is smaller than the sum of its proper divisors (69671120328).

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

20576566080 is a wasteful number, since it uses less digits than its factorization.

20576566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20576566080 in words is "twenty billion, five hundred seventy-six million, five hundred sixty-six thousand, eighty".