20585189120 has 72 divisors (see below), whose sum is σ = 49345798320. Its totient is φ = 8227758080.

The previous prime is 20585189117. The next prime is 20585189159. The reversal of 20585189120 is 2198158502.

It is a super-2 number, since 2×20585189120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890251 + ... + 1901109.

It is an arithmetic number, because the mean of its divisors is an integer number (685358310).

Almost surely, 2^20585189120 is an apocalyptic number.

20585189120 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 20585189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24672899160).

20585189120 is an abundant number, since it is smaller than the sum of its proper divisors (28760609200).

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

20585189120 is a wasteful number, since it uses less digits than its factorization.

20585189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12361 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 41.

The spelling of 20585189120 in words is "twenty billion, five hundred eighty-five million, one hundred eighty-nine thousand, one hundred twenty".