205752210480 has 320 divisors, whose sum is σ = 734019686400. Its totient is φ = 52919101440.

The previous prime is 205752210437. The next prime is 205752210497. The reversal of 205752210480 is 84012257502.

It is a happy number.

205752210480 is a `hidden beast` number, since 2 + 0 + 57 + 522 + 1 + 0 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20551716 + ... + 20561724.

It is an arithmetic number, because the mean of its divisors is an integer number (2293811520).

Almost surely, 2^205752210480 is an apocalyptic number.

205752210480 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 205752210480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367009843200).

205752210480 is an abundant number, since it is smaller than the sum of its proper divisors (528267475920).

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

205752210480 is a wasteful number, since it uses less digits than its factorization.

205752210480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10357 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 205752210480 its reverse (84012257502), we get a palindrome (289764467982).

The spelling of 205752210480 in words is "two hundred five billion, seven hundred fifty-two million, two hundred ten thousand, four hundred eighty".