242560083792768 has 512 divisors, whose sum is σ = 790627238553600. Its totient is φ = 64313512427520.

The previous prime is 242560083792739. The next prime is 242560083792773. The reversal of 242560083792768 is 867297380065242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1192244013 + ... + 1192447443.

It is an arithmetic number, because the mean of its divisors is an integer number (1544193825300).

Almost surely, 2^{242560083792768} is an apocalyptic number.

242560083792768 is a gapful number since it is divisible by the number (28) 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 242560083792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395313619276800).

242560083792768 is an abundant number, since it is smaller than the sum of its proper divisors (548067154760832).

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

242560083792768 is a wasteful number, since it uses less digits than its factorization.

242560083792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203838 (or 203826 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 69.

The spelling of 242560083792768 in words is "two hundred forty-two trillion, five hundred sixty billion, eighty-three million, seven hundred ninety-two thousand, seven hundred sixty-eight".