20586224120 has 256 divisors, whose sum is σ = 64366617600. Its totient is φ = 5720924160.

The previous prime is 20586224077. The next prime is 20586224167. The reversal of 20586224120 is 2142268502.

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 63 ways as a sum of consecutive naturals, for example, 984494 + ... + 1005186.

It is an arithmetic number, because the mean of its divisors is an integer number (251432100).

Almost surely, 2^20586224120 is an apocalyptic number.

20586224120 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 20586224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32183308800).

20586224120 is an abundant number, since it is smaller than the sum of its proper divisors (43780393480).

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

20586224120 is a wasteful number, since it uses less digits than its factorization.

20586224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20758 (or 20754 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 20586224120 in words is "twenty billion, five hundred eighty-six million, two hundred twenty-four thousand, one hundred twenty".