260346240000 has 1320 divisors, whose sum is σ = 1173169565568. Its totient is φ = 54005760000.

The previous prime is 260346239957. The next prime is 260346240023. The reversal of 260346240000 is 42643062.

260346240000 is a `hidden beast` number, since 2 + 6 + 0 + 34 + 624 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 443519707 + ... + 443520293.

Almost surely, 2^260346240000 is an apocalyptic number.

260346240000 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 260346240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586584782784).

260346240000 is an abundant number, since it is smaller than the sum of its proper divisors (912823325568).

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

260346240000 is a wasteful number, since it uses less digits than its factorization.

260346240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 260346240000 its reverse (42643062), we get a palindrome (260388883062).

It can be divided in two parts, 2603462 and 40000, that added together give a palindrome (2643462).

The spelling of 260346240000 in words is "two hundred sixty billion, three hundred forty-six million, two hundred forty thousand".