20589225120 has 288 divisors, whose sum is σ = 73034816400. Its totient is φ = 5275533312.

The previous prime is 20589225119. The next prime is 20589225133. The reversal of 20589225120 is 2152298502.

20589225120 is a `hidden beast` number, since 2 + 0 + 58 + 92 + 2 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9190673424 + 11398551696 = 95868^2 + 106764^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9561964 + ... + 9564116.

Almost surely, 2^20589225120 is an apocalyptic number.

20589225120 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 20589225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36517408200).

20589225120 is an abundant number, since it is smaller than the sum of its proper divisors (52445591280).

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

20589225120 is a wasteful number, since it uses less digits than its factorization.

20589225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 20589225120 in words is "twenty billion, five hundred eighty-nine million, two hundred twenty-five thousand, one hundred twenty".