206505060000 has 240 divisors, whose sum is σ = 681953580000. Its totient is φ = 54696064000.

The previous prime is 206505059977. The next prime is 206505060001. The reversal of 206505060000 is 60505602.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (206505060001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8928451 + ... + 8951549.

It is an arithmetic number, because the mean of its divisors is an integer number (2841473250).

Almost surely, 2^206505060000 is an apocalyptic number.

206505060000 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 206505060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340976790000).

206505060000 is an abundant number, since it is smaller than the sum of its proper divisors (475448520000).

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

206505060000 is a wasteful number, since it uses less digits than its factorization.

206505060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23281 (or 23258 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 206505060000 its reverse (60505602), we get a palindrome (206565565602).

The spelling of 206505060000 in words is "two hundred six billion, five hundred five million, sixty thousand".