260264556288 has 432 divisors, whose sum is σ = 874248560640. Its totient is φ = 73685606400.

The previous prime is 260264556271. The next prime is 260264556323. The reversal of 260264556288 is 882655462062.

260264556288 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 6 + 4 + 5 + 5 + 628 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22778545 + ... + 22789967.

It is an arithmetic number, because the mean of its divisors is an integer number (2023723520).

Almost surely, 2^260264556288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260264556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437124280320).

260264556288 is an abundant number, since it is smaller than the sum of its proper divisors (613984004352).

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

260264556288 is a wasteful number, since it uses less digits than its factorization.

260264556288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11516 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 260264556288 in words is "two hundred sixty billion, two hundred sixty-four million, five hundred fifty-six thousand, two hundred eighty-eight".