205120880964288 has 224 divisors, whose sum is σ = 606221645568000. Its totient is φ = 68010682199040.

The previous prime is 205120880964247. The next prime is 205120880964359. The reversal of 205120880964288 is 882469088021502.

205120880964288 is a `hidden beast` number, since 2 + 0 + 5 + 120 + 8 + 80 + 9 + 6 + 428 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641185558 + ... + 641505386.

It is an arithmetic number, because the mean of its divisors is an integer number (2706346632000).

Almost surely, 2^{205120880964288} 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 205120880964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303110822784000).

205120880964288 is an abundant number, since it is smaller than the sum of its proper divisors (401100764603712).

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

205120880964288 is a wasteful number, since it uses less digits than its factorization.

205120880964288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321820 (or 321804 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 205120880964288 in words is "two hundred five trillion, one hundred twenty billion, eight hundred eighty million, nine hundred sixty-four thousand, two hundred eighty-eight".