205771996560 has 160 divisors (see below), whose sum is σ = 693042392448. Its totient is φ = 50203238400.

The previous prime is 205771996531. The next prime is 205771996561. The reversal of 205771996560 is 65699177502.

It is a super-2 number, since 2×205771996560² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205771996560.

It is not an unprimeable number, because it can be changed into a prime (205771996561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60735 + ... + 644385.

Almost surely, 2^205771996560 is an apocalyptic number.

205771996560 is a gapful number since it is divisible by the number (20) 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 205771996560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346521196224).

205771996560 is an abundant number, since it is smaller than the sum of its proper divisors (487270395888).

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

205771996560 is a wasteful number, since it uses less digits than its factorization.

205771996560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583793 (or 583787 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 57.

The spelling of 205771996560 in words is "two hundred five billion, seven hundred seventy-one million, nine hundred ninety-six thousand, five hundred sixty".