205991533880832 has 320 divisors, whose sum is σ = 652944880710144. Its totient is φ = 56479608668160.

The previous prime is 205991533880809. The next prime is 205991533880863. The reversal of 205991533880832 is 238088335199502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25494607 + ... + 32587697.

Almost surely, 2^{205991533880832} 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 205991533880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326472440355072).

205991533880832 is an abundant number, since it is smaller than the sum of its proper divisors (446953346829312).

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

205991533880832 is an equidigital number, since it uses as much as digits as its factorization.

205991533880832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093229 (or 7093213 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 66.

The spelling of 205991533880832 in words is "two hundred five trillion, nine hundred ninety-one billion, five hundred thirty-three million, eight hundred eighty thousand, eight hundred thirty-two".