205450525200 has 120 divisors (see below), whose sum is σ = 661572942336. Its totient is φ = 54499904000.

The previous prime is 205450525193. The next prime is 205450525229. The reversal of 205450525200 is 2525054502.

205450525200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218991 + ... + 677390.

Almost surely, 2^205450525200 is an apocalyptic number.

205450525200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205450525200 is an abundant number, since it is smaller than the sum of its proper divisors (456122417136).

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

205450525200 is a wasteful number, since it uses less digits than its factorization.

205450525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896593 (or 896582 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

Adding to 205450525200 its reverse (2525054502), we get a palindrome (207975579702).

The spelling of 205450525200 in words is "two hundred five billion, four hundred fifty million, five hundred twenty-five thousand, two hundred".