203242760560 has 240 divisors, whose sum is σ = 556706779200. Its totient is φ = 68797747200.

The previous prime is 203242760557. The next prime is 203242760563. The reversal of 203242760560 is 65067242302.

203242760560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203242760557) and next prime (203242760563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203242760563) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 237155652 + ... + 237156508.

It is an arithmetic number, because the mean of its divisors is an integer number (2319611580).

Almost surely, 2^203242760560 is an apocalyptic number.

203242760560 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 203242760560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278353389600).

203242760560 is an abundant number, since it is smaller than the sum of its proper divisors (353464018640).

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

203242760560 is a wasteful number, since it uses less digits than its factorization.

203242760560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 203242760560 in words is "two hundred three billion, two hundred forty-two million, seven hundred sixty thousand, five hundred sixty".