205116261012 has 96 divisors (see below), whose sum is σ = 574803586560. Its totient is φ = 62879690880.

The previous prime is 205116260989. The next prime is 205116261019. The reversal of 205116261012 is 210162611502.

205116261012 is a `hidden beast` number, since 2 + 0 + 5 + 11 + 626 + 10 + 12 = 666.

It is a super-2 number, since 2×205116261012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205116261019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110938 + ... + 650030.

It is an arithmetic number, because the mean of its divisors is an integer number (5987537360).

Almost surely, 2^205116261012 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 205116261012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287401793280).

205116261012 is an abundant number, since it is smaller than the sum of its proper divisors (369687325548).

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

205116261012 is a wasteful number, since it uses less digits than its factorization.

205116261012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539390 (or 539382 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 205116261012 its reverse (210162611502), we get a palindrome (415278872514).

The spelling of 205116261012 in words is "two hundred five billion, one hundred sixteen million, two hundred sixty-one thousand, twelve".