205577120240 has 40 divisors (see below), whose sum is σ = 480828912480. Its totient is φ = 81738442496.

The previous prime is 205577120239. The next prime is 205577120251. The reversal of 205577120240 is 42021775502.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 205577120240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7680395 + ... + 7707114.

It is an arithmetic number, because the mean of its divisors is an integer number (12020722812).

Almost surely, 2^205577120240 is an apocalyptic number.

205577120240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205577120240 is an abundant number, since it is smaller than the sum of its proper divisors (275251792240).

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

205577120240 is a wasteful number, since it uses less digits than its factorization.

205577120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15387689 (or 15387683 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 35.

Adding to 205577120240 its reverse (42021775502), we get a palindrome (247598895742).

The spelling of 205577120240 in words is "two hundred five billion, five hundred seventy-seven million, one hundred twenty thousand, two hundred forty".