206295048960 has 2592 divisors, whose sum is σ = 984030296256. Its totient is φ = 36333158400.

The previous prime is 206295048901. The next prime is 206295048979. The reversal of 206295048960 is 69840592602.

206295048960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5031586540 + ... + 5031586580.

It is an arithmetic number, because the mean of its divisors is an integer number (379641318).

Almost surely, 2^206295048960 is an apocalyptic number.

206295048960 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 206295048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492015148128).

206295048960 is an abundant number, since it is smaller than the sum of its proper divisors (777735247296).

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

206295048960 is a wasteful number, since it uses less digits than its factorization.

206295048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 206295048960 in words is "two hundred six billion, two hundred ninety-five million, forty-eight thousand, nine hundred sixty".