205685798472 has 768 divisors, whose sum is σ = 778965465600. Its totient is φ = 49025433600.

The previous prime is 205685798429. The next prime is 205685798473. The reversal of 205685798472 is 274897586502.

205685798472 is a `hidden beast` number, since 2 + 0 + 56 + 8 + 579 + 8 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (205685798473) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127516738 + ... + 127518350.

It is an arithmetic number, because the mean of its divisors is an integer number (1014277950).

Almost surely, 2^205685798472 is an apocalyptic number.

205685798472 is a gapful number since it is divisible by the number (22) 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 205685798472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389482732800).

205685798472 is an abundant number, since it is smaller than the sum of its proper divisors (573279667128).

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

205685798472 is a wasteful number, since it uses less digits than its factorization.

205685798472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 205685798472 in words is "two hundred five billion, six hundred eighty-five million, seven hundred ninety-eight thousand, four hundred seventy-two".