205570945008 has 320 divisors, whose sum is σ = 710139548160. Its totient is φ = 56099174400.

The previous prime is 205570945007. The next prime is 205570945043. The reversal of 205570945008 is 800549075502.

205570945008 is a `hidden beast` number, since 2 + 0 + 5 + 57 + 0 + 94 + 500 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205570945001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2492235 + ... + 2573397.

It is an arithmetic number, because the mean of its divisors is an integer number (2219186088).

Almost surely, 2^205570945008 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 205570945008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355069774080).

205570945008 is an abundant number, since it is smaller than the sum of its proper divisors (504568603152).

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

205570945008 is a wasteful number, since it uses less digits than its factorization.

205570945008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81245 (or 81233 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 205570945008 in words is "two hundred five billion, five hundred seventy million, nine hundred forty-five thousand, eight".