205220200110540 has 192 divisors, whose sum is σ = 583918466374656. Its totient is φ = 53847290585088.

The previous prime is 205220200110493. The next prime is 205220200110571. The reversal of 205220200110540 is 45011002022502.

It is a self number, because there is not a number n which added to its sum of digits gives 205220200110540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980154504 + ... + 980363856.

It is an arithmetic number, because the mean of its divisors is an integer number (3041242012368).

Almost surely, 2^{205220200110540} is an apocalyptic number.

205220200110540 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 205220200110540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291959233187328).

205220200110540 is an abundant number, since it is smaller than the sum of its proper divisors (378698266264116).

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

205220200110540 is a wasteful number, since it uses less digits than its factorization.

205220200110540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210528 (or 210526 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 205220200110540 in words is "two hundred five trillion, two hundred twenty billion, two hundred million, one hundred ten thousand, five hundred forty".