260056665792 has 336 divisors, whose sum is σ = 931264169472. Its totient is φ = 67407114240.

The previous prime is 260056665763. The next prime is 260056665797. The reversal of 260056665792 is 297566650062.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (260056665797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22303228 + ... + 22314884.

It is an arithmetic number, because the mean of its divisors is an integer number (2771619552).

Almost surely, 2^260056665792 is an apocalyptic number.

260056665792 is a gapful number since it is divisible by the number (22) 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 260056665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465632084736).

260056665792 is an abundant number, since it is smaller than the sum of its proper divisors (671207503680).

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

260056665792 is a wasteful number, since it uses less digits than its factorization.

260056665792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12183 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 260056665792 in words is "two hundred sixty billion, fifty-six million, six hundred sixty-five thousand, seven hundred ninety-two".