205483955760 has 400 divisors, whose sum is σ = 756705734400. Its totient is φ = 51533978112.

The previous prime is 205483955689. The next prime is 205483955791. The reversal of 205483955760 is 67559384502.

205483955760 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 83 + 9 + 557 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 205483955697 and 205483955706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17107677 + ... + 17119683.

It is an arithmetic number, because the mean of its divisors is an integer number (1891764336).

Almost surely, 2^205483955760 is an apocalyptic number.

205483955760 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 205483955760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378352867200).

205483955760 is an abundant number, since it is smaller than the sum of its proper divisors (551221778640).

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

205483955760 is a wasteful number, since it uses less digits than its factorization.

205483955760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190 (or 12175 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 205483955760 in words is "two hundred five billion, four hundred eighty-three million, nine hundred fifty-five thousand, seven hundred sixty".