20582506587648 has 160 divisors (see below), whose sum is σ = 56667593613312. Its totient is φ = 6631811481600.

The previous prime is 20582506587623. The next prime is 20582506587649. The reversal of 20582506587648 is 84678560528502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20582506587649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40842168 + ... + 41343048.

Almost surely, 2^{20582506587648} 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 20582506587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28333796806656).

20582506587648 is an abundant number, since it is smaller than the sum of its proper divisors (36085087025664).

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

20582506587648 is an equidigital number, since it uses as much as digits as its factorization.

20582506587648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501796 (or 501780 counting only the distinct ones).

The product of its (nonzero) digits is 258048000, while the sum is 66.

The spelling of 20582506587648 in words is "twenty trillion, five hundred eighty-two billion, five hundred six million, five hundred eighty-seven thousand, six hundred forty-eight".