260026754688 has 320 divisors, whose sum is σ = 798156152640. Its totient is φ = 83980800000.

The previous prime is 260026754683. The next prime is 260026754717. The reversal of 260026754688 is 886457620062.

260026754688 is a `hidden beast` number, since 2 + 600 + 26 + 7 + 5 + 4 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×260026754688² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (260026754683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64186263 + ... + 64190313.

It is an arithmetic number, because the mean of its divisors is an integer number (2494237977).

Almost surely, 2^260026754688 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 260026754688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399078076320).

260026754688 is an abundant number, since it is smaller than the sum of its proper divisors (538129397952).

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

260026754688 is a wasteful number, since it uses less digits than its factorization.

260026754688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 260026754688 in words is "two hundred sixty billion, twenty-six million, seven hundred fifty-four thousand, six hundred eighty-eight".