206516081440 has 48 divisors (see below), whose sum is σ = 488300936760. Its totient is φ = 82537574400.

The previous prime is 206516081437. The next prime is 206516081459. The reversal of 206516081440 is 44180615602.

It can be written as a sum of positive squares in 4 ways, for example, as 39650367376 + 166865714064 = 199124^2 + 408492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 206516081440.

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 7 ways as a sum of consecutive naturals, for example, 345195 + ... + 729514.

Almost surely, 2^206516081440 is an apocalyptic number.

206516081440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206516081440 is an abundant number, since it is smaller than the sum of its proper divisors (281784855320).

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

206516081440 is a wasteful number, since it uses less digits than its factorization.

206516081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075925 (or 1075917 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 206516081440 in words is "two hundred six billion, five hundred sixteen million, eighty-one thousand, four hundred forty".