205972500480 has 832 divisors, whose sum is σ = 749032220160. Its totient is φ = 48016392192.

The previous prime is 205972500457. The next prime is 205972500521. The reversal of 205972500480 is 84005279502.

205972500480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924976587 + ... + 1924976693.

Almost surely, 2^205972500480 is an apocalyptic number.

205972500480 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 205972500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374516110080).

205972500480 is an abundant number, since it is smaller than the sum of its proper divisors (543059719680).

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

205972500480 is a wasteful number, since it uses less digits than its factorization.

205972500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

Adding to 205972500480 its reverse (84005279502), we get a palindrome (289977779982).

The spelling of 205972500480 in words is "two hundred five billion, nine hundred seventy-two million, five hundred thousand, four hundred eighty".