205255660140 has 72 divisors (see below), whose sum is σ = 625281104448. Its totient is φ = 54499918080.

The previous prime is 205255660121. The next prime is 205255660147. The reversal of 205255660140 is 41066552502.

205255660140 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 5 + 5 + 6 + 601 + 40 = 666.

205255660140 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 205255660095 and 205255660104.

It is not an unprimeable number, because it can be changed into a prime (205255660147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2405076 + ... + 2488955.

It is an arithmetic number, because the mean of its divisors is an integer number (8684459784).

Almost surely, 2^205255660140 is an apocalyptic number.

205255660140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205255660140 is an abundant number, since it is smaller than the sum of its proper divisors (420025444308).

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

205255660140 is a wasteful number, since it uses less digits than its factorization.

205255660140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894279 (or 4894274 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 205255660140 in words is "two hundred five billion, two hundred fifty-five million, six hundred sixty thousand, one hundred forty".