204959696688 has 240 divisors, whose sum is σ = 590665944960. Its totient is φ = 66327330816.

The previous prime is 204959696677. The next prime is 204959696701. The reversal of 204959696688 is 886696959402.

204959696688 is a `hidden beast` number, since 20 + 4 + 9 + 596 + 9 + 6 + 6 + 8 + 8 = 666.

204959696688 is digitally balanced in base 2 and base 3, because in such bases 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 (72).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 177761520 + ... + 177762672.

It is an arithmetic number, because the mean of its divisors is an integer number (2461108104).

Almost surely, 2^204959696688 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 204959696688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295332972480).

204959696688 is an abundant number, since it is smaller than the sum of its proper divisors (385706248272).

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

204959696688 is a wasteful number, since it uses less digits than its factorization.

204959696688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 204959696688 in words is "two hundred four billion, nine hundred fifty-nine million, six hundred ninety-six thousand, six hundred eighty-eight".