205216425102660 has 96 divisors (see below), whose sum is σ = 578158379285760. Its totient is φ = 54386310108672.

The previous prime is 205216425102649. The next prime is 205216425102671. The reversal of 205216425102660 is 66201524612502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205216425102649) and next prime (205216425102671).

It is a super-2 number, since 2×205216425102660² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 22031806 + ... + 29930474.

It is an arithmetic number, because the mean of its divisors is an integer number (6022483117560).

Almost surely, 2^{205216425102660} is an apocalyptic number.

205216425102660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205216425102660 is an abundant number, since it is smaller than the sum of its proper divisors (372941954183100).

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

205216425102660 is a wasteful number, since it uses less digits than its factorization.

205216425102660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7901357 (or 7901355 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 205216425102660 in words is "two hundred five trillion, two hundred sixteen billion, four hundred twenty-five million, one hundred two thousand, six hundred sixty".