260594200658880 has 448 divisors, whose sum is σ = 1003042740672000. Its totient is φ = 63164908707840.

The previous prime is 260594200658833. The next prime is 260594200658903. The reversal of 260594200658880 is 88856002495062.

260594200658880 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 9 + 42 + 0 + 0 + 6 + 588 + 8 + 0 = 666.

It is a super-2 number, since 2×260594200658880² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646355596 + ... + 646758644.

It is an arithmetic number, because the mean of its divisors is an integer number (2238934689000).

Almost surely, 2^{260594200658880} is an apocalyptic number.

260594200658880 is a gapful number since it is divisible by the number (20) 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 260594200658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501521370336000).

260594200658880 is an abundant number, since it is smaller than the sum of its proper divisors (742448540013120).

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

260594200658880 is a wasteful number, since it uses less digits than its factorization.

260594200658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409889 (or 409873 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 260594200658880 in words is "two hundred sixty trillion, five hundred ninety-four billion, two hundred million, six hundred fifty-eight thousand, eight hundred eighty".