260944269768 has 256 divisors, whose sum is σ = 892856025600. Its totient is φ = 68763479040.

The previous prime is 260944269749. The next prime is 260944269799. The reversal of 260944269768 is 867962449062.

260944269768 is a `hidden beast` number, since 2 + 60 + 9 + 4 + 426 + 97 + 68 = 666.

260944269768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 27140130 + ... + 27149742.

It is an arithmetic number, because the mean of its divisors is an integer number (3487718850).

Almost surely, 2^260944269768 is an apocalyptic number.

260944269768 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 260944269768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446428012800).

260944269768 is an abundant number, since it is smaller than the sum of its proper divisors (631911755832).

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

260944269768 is a wasteful number, since it uses less digits than its factorization.

260944269768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11029 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 260944269768 in words is "two hundred sixty billion, nine hundred forty-four million, two hundred sixty-nine thousand, seven hundred sixty-eight".