260488399680 has 336 divisors, whose sum is σ = 970745840064. Its totient is φ = 63856558080.

The previous prime is 260488399607. The next prime is 260488399711. The reversal of 260488399680 is 86993884062.

260488399680 is a `hidden beast` number, since 2 + 6 + 0 + 488 + 3 + 99 + 68 + 0 = 666.

It is a super-3 number, since 3×260488399680³ (a number of 35 digits) contains 333 as substring.

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, 2043415 + ... + 2167145.

It is an arithmetic number, because the mean of its divisors is an integer number (2889124524).

Almost surely, 2^260488399680 is an apocalyptic number.

260488399680 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 260488399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485372920032).

260488399680 is an abundant number, since it is smaller than the sum of its proper divisors (710257440384).

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

260488399680 is a wasteful number, since it uses less digits than its factorization.

260488399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123814 (or 123801 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 260488399680 in words is "two hundred sixty billion, four hundred eighty-eight million, three hundred ninety-nine thousand, six hundred eighty".