205480890000 has 225 divisors, whose sum is σ = 719072244319. Its totient is φ = 54758640000.

The previous prime is 205480889989. The next prime is 205480890037. The reversal of 205480890000 is 98084502.

The square root of 205480890000 is 453300.

It is a perfect power (a square), and thus also a powerful number.

205480890000 is a `hidden beast` number, since 20 + 548 + 0 + 8 + 90 + 0 + 0 + 0 = 666.

205480890000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16109701776 + 189371188224 = 126924^2 + 435168^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 135989245 + ... + 135990755.

Almost surely, 2^205480890000 is an apocalyptic number.

205480890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

205480890000 is the 453300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205480890000

205480890000 is an abundant number, since it is smaller than the sum of its proper divisors (513591354319).

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

205480890000 is an frugal number, since it uses more digits than its factorization.

205480890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 205480890000 by its sum of digits (36), we get a square (7397312040000 = 2719800²).

205480890000 divided by its sum of digits (36) gives a square (5707802500 = 75550²).

The spelling of 205480890000 in words is "two hundred five billion, four hundred eighty million, eight hundred ninety thousand".