205089325056 has 840 divisors, whose sum is σ = 770151373824. Its totient is φ = 53031075840.

The previous prime is 205089325043. The next prime is 205089325087. The reversal of 205089325056 is 650523980502.

205089325056 is a `hidden beast` number, since 2 + 0 + 50 + 8 + 93 + 2 + 505 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 919682961 + ... + 919683183.

Almost surely, 2^205089325056 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 205089325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385075686912).

205089325056 is an abundant number, since it is smaller than the sum of its proper divisors (565062048768).

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

205089325056 is an frugal number, since it uses more digits than its factorization.

205089325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 205089325056 in words is "two hundred five billion, eighty-nine million, three hundred twenty-five thousand, fifty-six".