206830260000 has 2400 divisors, whose sum is σ = 992196995328. Its totient is φ = 41057280000.

The previous prime is 206830259981. The next prime is 206830260019. The reversal of 206830260000 is 62038602.

206830260000 is a `hidden beast` number, since 20 + 6 + 8 + 30 + 2 + 600 + 0 + 0 = 666.

206830260000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206830259981) and next prime (206830260019).

It is a tau number, because it is divible by the number of its divisors (2400).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 3390659970 + ... + 3390660030.

Almost surely, 2^206830260000 is an apocalyptic number.

206830260000 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 206830260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496098497664).

206830260000 is an abundant number, since it is smaller than the sum of its proper divisors (785366735328).

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

206830260000 is a wasteful number, since it uses less digits than its factorization.

206830260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 206830260000 its reverse (62038602), we get a palindrome (206892298602).

The spelling of 206830260000 in words is "two hundred six billion, eight hundred thirty million, two hundred sixty thousand".