205530442000 has 320 divisors, whose sum is σ = 568997956800. Its totient is φ = 71379763200.

The previous prime is 205530441959. The next prime is 205530442021. The reversal of 205530442000 is 244035502.

It can be written as a sum of positive squares in 32 ways, for example, as 180985579776 + 24544862224 = 425424^2 + 156668^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 127737196 + ... + 127738804.

It is an arithmetic number, because the mean of its divisors is an integer number (1778118615).

Almost surely, 2^205530442000 is an apocalyptic number.

205530442000 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 205530442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284498978400).

205530442000 is an abundant number, since it is smaller than the sum of its proper divisors (363467514800).

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

205530442000 is a wasteful number, since it uses less digits than its factorization.

205530442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 205530442000 its reverse (244035502), we get a palindrome (205774477502).

The spelling of 205530442000 in words is "two hundred five billion, five hundred thirty million, four hundred forty-two thousand".