20586960000 has 560 divisors, whose sum is σ = 77057450910. Its totient is φ = 5474304000.

The previous prime is 20586959977. The next prime is 20586960001. The reversal of 20586960000 is 6968502.

It can be written as a sum of positive squares in 5 ways, for example, as 78428736 + 20508531264 = 8856^2 + 143208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20586960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 58319824 + ... + 58320176.

Almost surely, 2^20586960000 is an apocalyptic number.

20586960000 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 20586960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38528725455).

20586960000 is an abundant number, since it is smaller than the sum of its proper divisors (56470490910).

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

20586960000 is an frugal number, since it uses more digits than its factorization.

20586960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20586960000 in words is "twenty billion, five hundred eighty-six million, nine hundred sixty thousand".