205255274433120 has 288 divisors, whose sum is σ = 713677031776800. Its totient is φ = 53699926106112.

The previous prime is 205255274433113. The next prime is 205255274433133. The reversal of 205255274433120 is 21334472552502.

205255274433120 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 552 + 7 + 4 + 43 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3557933236 + ... + 3557990924.

It is an arithmetic number, because the mean of its divisors is an integer number (2478045249225).

Almost surely, 2^{205255274433120} is an apocalyptic number.

205255274433120 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 205255274433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356838515888400).

205255274433120 is an abundant number, since it is smaller than the sum of its proper divisors (508421757343680).

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

205255274433120 is a wasteful number, since it uses less digits than its factorization.

205255274433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104382 (or 104371 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 205255274433120 in words is "two hundred five trillion, two hundred fifty-five billion, two hundred seventy-four million, four hundred thirty-three thousand, one hundred twenty".