206185140480 has 144 divisors (see below), whose sum is σ = 718367920704. Its totient is φ = 49984266240.

The previous prime is 206185140479. The next prime is 206185140487. The reversal of 206185140480 is 84041581602.

It is not an unprimeable number, because it can be changed into a prime (206185140487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2398399 + ... + 2482878.

It is an arithmetic number, because the mean of its divisors is an integer number (4988666116).

Almost surely, 2^206185140480 is an apocalyptic number.

206185140480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206185140480 is an abundant number, since it is smaller than the sum of its proper divisors (512182780224).

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

206185140480 is a wasteful number, since it uses less digits than its factorization.

206185140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881312 (or 4881298 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 206185140480 in words is "two hundred six billion, one hundred eighty-five million, one hundred forty thousand, four hundred eighty".