260255958842880 has 1920 divisors, whose sum is σ = 1210925145830400. Its totient is φ = 49888918241280.

The previous prime is 260255958842849. The next prime is 260255958842903. The reversal of 260255958842880 is 88248859552062.

260255958842880 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 5 + 595 + 8 + 8 + 4 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×260255958842880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 260255958842799 and 260255958842808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63492547071 + ... + 63492551169.

It is an arithmetic number, because the mean of its divisors is an integer number (630690180120).

Almost surely, 2^{260255958842880} is an apocalyptic number.

260255958842880 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 260255958842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605462572915200).

260255958842880 is an abundant number, since it is smaller than the sum of its proper divisors (950669186987520).

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

260255958842880 is a wasteful number, since it uses less digits than its factorization.

260255958842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 884736000, while the sum is 72.

The spelling of 260255958842880 in words is "two hundred sixty trillion, two hundred fifty-five billion, nine hundred fifty-eight million, eight hundred forty-two thousand, eight hundred eighty".