205201326960 has 960 divisors, whose sum is σ = 855716659200. Its totient is φ = 43026536448.

The previous prime is 205201326931. The next prime is 205201326961. The reversal of 205201326960 is 69623102502.

205201326960 is a `hidden beast` number, since 2 + 0 + 520 + 13 + 2 + 69 + 60 = 666.

It is a super-2 number, since 2×205201326960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205201326961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 571591261 + ... + 571591619.

It is an arithmetic number, because the mean of its divisors is an integer number (891371520).

Almost surely, 2^205201326960 is an apocalyptic number.

205201326960 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 205201326960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427858329600).

205201326960 is an abundant number, since it is smaller than the sum of its proper divisors (650515332240).

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

205201326960 is a wasteful number, since it uses less digits than its factorization.

205201326960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 205201326960 in words is "two hundred five billion, two hundred one million, three hundred twenty-six thousand, nine hundred sixty".