260346078720 has 1920 divisors, whose sum is σ = 1188872657280. Its totient is φ = 54177693696.

The previous prime is 260346078697. The next prime is 260346078763. The reversal of 260346078720 is 27870643062.

260346078720 is a `hidden beast` number, since 2 + 6 + 0 + 34 + 607 + 8 + 7 + 2 + 0 = 666.

260346078720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3566384604 + ... + 3566384676.

It is an arithmetic number, because the mean of its divisors is an integer number (619204509).

Almost surely, 2^260346078720 is an apocalyptic number.

260346078720 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 260346078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594436328640).

260346078720 is an abundant number, since it is smaller than the sum of its proper divisors (928526578560).

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

260346078720 is an frugal number, since it uses more digits than its factorization.

260346078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 260346078720 in words is "two hundred sixty billion, three hundred forty-six million, seventy-eight thousand, seven hundred twenty".