20587275520 has 216 divisors, whose sum is σ = 58315283208. Its totient is φ = 6941491200.

The previous prime is 20587275509. The next prime is 20587275547. The reversal of 20587275520 is 2557278502.

It can be written as a sum of positive squares in 4 ways, for example, as 99361024 + 20487914496 = 9968^2 + 143136^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3823230 + ... + 3828610.

It is an arithmetic number, because the mean of its divisors is an integer number (269978163).

Almost surely, 2^20587275520 is an apocalyptic number.

20587275520 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 20587275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29157641604).

20587275520 is an abundant number, since it is smaller than the sum of its proper divisors (37728007688).

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

20587275520 is an equidigital number, since it uses as much as digits as its factorization.

20587275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 43.

The spelling of 20587275520 in words is "twenty billion, five hundred eighty-seven million, two hundred seventy-five thousand, five hundred twenty".