205006610542180 has 48 divisors (see below), whose sum is σ = 431377874351424. Its totient is φ = 81838147559040.

The previous prime is 205006610542133. The next prime is 205006610542187. The reversal of 205006610542180 is 81245016600502.

It is not an unprimeable number, because it can be changed into a prime (205006610542187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42512674 + ... + 47088646.

It is an arithmetic number, because the mean of its divisors is an integer number (8987039048988).

Almost surely, 2^{205006610542180} is an apocalyptic number.

205006610542180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205006610542180 is an abundant number, since it is smaller than the sum of its proper divisors (226371263809244).

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

205006610542180 is a wasteful number, since it uses less digits than its factorization.

205006610542180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580476 (or 4580474 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 205006610542180 in words is "two hundred five trillion, six billion, six hundred ten million, five hundred forty-two thousand, one hundred eighty".