205028070480 has 160 divisors (see below), whose sum is σ = 719532875520. Its totient is φ = 53642534400.

The previous prime is 205028070479. The next prime is 205028070487. The reversal of 205028070480 is 84070820502.

It is a happy number.

205028070480 is a `hidden beast` number, since 2 + 0 + 502 + 8 + 0 + 70 + 4 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205028070487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780996 + ... + 1009955.

It is an arithmetic number, because the mean of its divisors is an integer number (4497080472).

Almost surely, 2^205028070480 is an apocalyptic number.

205028070480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205028070480 is an abundant number, since it is smaller than the sum of its proper divisors (514504805040).

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

205028070480 is a wasteful number, since it uses less digits than its factorization.

205028070480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791026 (or 1791014 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 205028070480 its reverse (84070820502), we get a palindrome (289098890982).

The spelling of 205028070480 in words is "two hundred five billion, twenty-eight million, seventy thousand, four hundred eighty".