205455553212240 has 480 divisors, whose sum is σ = 711875479910400. Its totient is φ = 53063913369600.

The previous prime is 205455553212223. The next prime is 205455553212293. The reversal of 205455553212240 is 42212355554502.

205455553212240 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 5 + 55 + 532 + 1 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23564114601 + ... + 23564123319.

It is an arithmetic number, because the mean of its divisors is an integer number (1483073916480).

Almost surely, 2^{205455553212240} is an apocalyptic number.

205455553212240 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 205455553212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355937739955200).

205455553212240 is an abundant number, since it is smaller than the sum of its proper divisors (506419926698160).

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

205455553212240 is a wasteful number, since it uses less digits than its factorization.

205455553212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12715 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 205455553212240 in words is "two hundred five trillion, four hundred fifty-five billion, five hundred fifty-three million, two hundred twelve thousand, two hundred forty".