205784854064 has 80 divisors (see below), whose sum is σ = 419989785600. Its totient is φ = 97488534528.

The previous prime is 205784854061. The next prime is 205784854073. The reversal of 205784854064 is 460458487502.

It is a junction number, because it is equal to n+sod(n) for n = 205784853997 and 205784854015.

It is not an unprimeable number, because it can be changed into a prime (205784854061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23679032 + ... + 23687720.

It is an arithmetic number, because the mean of its divisors is an integer number (5249872320).

Almost surely, 2^205784854064 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 205784854064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209994892800).

205784854064 is an abundant number, since it is smaller than the sum of its proper divisors (214204931536).

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

205784854064 is a wasteful number, since it uses less digits than its factorization.

205784854064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 53.

The spelling of 205784854064 in words is "two hundred five billion, seven hundred eighty-four million, eight hundred fifty-four thousand, sixty-four".