205570560000 has 1040 divisors, whose sum is σ = 773801804160. Its totient is φ = 48168960000.

The previous prime is 205570559989. The next prime is 205570560001. The reversal of 205570560000 is 65075502.

205570560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 205570560000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205570560001) 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 79 ways as a sum of consecutive naturals, for example, 2895359965 + ... + 2895360035.

Almost surely, 2^205570560000 is an apocalyptic number.

205570560000 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 205570560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386900902080).

205570560000 is an abundant number, since it is smaller than the sum of its proper divisors (568231244160).

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

205570560000 is an equidigital number, since it uses as much as digits as its factorization.

205570560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The spelling of 205570560000 in words is "two hundred five billion, five hundred seventy million, five hundred sixty thousand".