206260615200 has 144 divisors (see below), whose sum is σ = 671880121920. Its totient is φ = 54961720320.

The previous prime is 206260615193. The next prime is 206260615201. The reversal of 206260615200 is 2516062602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (206260615201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3249366 + ... + 3312234.

It is an arithmetic number, because the mean of its divisors is an integer number (4665834180).

Almost surely, 2^206260615200 is an apocalyptic number.

206260615200 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 206260615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335940060960).

206260615200 is an abundant number, since it is smaller than the sum of its proper divisors (465619506720).

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

206260615200 is a wasteful number, since it uses less digits than its factorization.

206260615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64259 (or 64246 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 206260615200 its reverse (2516062602), we get a palindrome (208776677802).

The spelling of 206260615200 in words is "two hundred six billion, two hundred sixty million, six hundred fifteen thousand, two hundred".