205424851968 has 528 divisors, whose sum is σ = 712033720320. Its totient is φ = 55804723200.

The previous prime is 205424851967. The next prime is 205424851981. The reversal of 205424851968 is 869158424502.

205424851968 is a `hidden beast` number, since 2 + 0 + 542 + 4 + 8 + 5 + 1 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205424851967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117991578 + ... + 117993318.

Almost surely, 2^205424851968 is an apocalyptic number.

205424851968 is a gapful number since it is divisible by the number (28) 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 205424851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356016860160).

205424851968 is an abundant number, since it is smaller than the sum of its proper divisors (506608868352).

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

205424851968 is a wasteful number, since it uses less digits than its factorization.

205424851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 205424851968 in words is "two hundred five billion, four hundred twenty-four million, eight hundred fifty-one thousand, nine hundred sixty-eight".