206565120000 has 960 divisors, whose sum is σ = 788035248000. Its totient is φ = 53415936000.

The previous prime is 206565119993. The next prime is 206565120079. The reversal of 206565120000 is 21565602.

206565120000 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 651 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×206565120000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1486079931 + ... + 1486080069.

It is an arithmetic number, because the mean of its divisors is an integer number (820870050).

Almost surely, 2^206565120000 is an apocalyptic number.

206565120000 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 206565120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394017624000).

206565120000 is an abundant number, since it is smaller than the sum of its proper divisors (581470128000).

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

206565120000 is an equidigital number, since it uses as much as digits as its factorization.

206565120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 206565120000 its reverse (21565602), we get a palindrome (206586685602).

The spelling of 206565120000 in words is "two hundred six billion, five hundred sixty-five million, one hundred twenty thousand".