20577408512 has 80 divisors (see below), whose sum is σ = 43209539472. Its totient is φ = 9777438720.

The previous prime is 20577408499. The next prime is 20577408517. The reversal of 20577408512 is 21580477502.

It is a self number, because there is not a number n which added to its sum of digits gives 20577408512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20577408517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801962 + ... + 827222.

Almost surely, 2^20577408512 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 20577408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21604769736).

20577408512 is an abundant number, since it is smaller than the sum of its proper divisors (22632130960).

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

20577408512 is an equidigital number, since it uses as much as digits as its factorization.

20577408512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25359 (or 25343 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 20577408512 in words is "twenty billion, five hundred seventy-seven million, four hundred eight thousand, five hundred twelve".