205573600960 has 336 divisors, whose sum is σ = 608444174016. Its totient is φ = 64776830976.

The previous prime is 205573600943. The next prime is 205573600961. The reversal of 205573600960 is 69006375502.

205573600960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205573600960² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205573600961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97288864 + ... + 97290976.

It is an arithmetic number, because the mean of its divisors is an integer number (1810845756).

Almost surely, 2^205573600960 is an apocalyptic number.

205573600960 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 205573600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304222087008).

205573600960 is an abundant number, since it is smaller than the sum of its proper divisors (402870573056).

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

205573600960 is a wasteful number, since it uses less digits than its factorization.

205573600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 205573600960 in words is "two hundred five billion, five hundred seventy-three million, six hundred thousand, nine hundred sixty".