205289792064 has 224 divisors, whose sum is σ = 693867202560. Its totient is φ = 58302429696.

The previous prime is 205289792041. The next prime is 205289792093. The reversal of 205289792064 is 460297982502.

205289792064 is a `hidden beast` number, since 2 + 0 + 528 + 97 + 9 + 20 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 205289792064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1969219 + ... + 2070845.

It is an arithmetic number, because the mean of its divisors is an integer number (3097621440).

Almost surely, 2^205289792064 is an apocalyptic number.

205289792064 is a gapful number since it is divisible by the number (24) 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 205289792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346933601280).

205289792064 is an abundant number, since it is smaller than the sum of its proper divisors (488577410496).

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

205289792064 is a wasteful number, since it uses less digits than its factorization.

205289792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101822 (or 101806 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 205289792064 in words is "two hundred five billion, two hundred eighty-nine million, seven hundred ninety-two thousand, sixty-four".