205238992896 has 384 divisors, whose sum is σ = 696176732160. Its totient is φ = 57033621504.

The previous prime is 205238992873. The next prime is 205238992919. The reversal of 205238992896 is 698299832502.

205238992896 is a `hidden beast` number, since 2 + 0 + 523 + 89 + 9 + 28 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (205238992873) and next prime (205238992919).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 76380865 + ... + 76383551.

It is an arithmetic number, because the mean of its divisors is an integer number (1812960240).

Almost surely, 2^205238992896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205238992896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348088366080).

205238992896 is an abundant number, since it is smaller than the sum of its proper divisors (490937739264).

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

205238992896 is an equidigital number, since it uses as much as digits as its factorization.

205238992896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 205238992896 in words is "two hundred five billion, two hundred thirty-eight million, nine hundred ninety-two thousand, eight hundred ninety-six".