260391905280 has 1920 divisors, whose sum is σ = 1118788070400. Its totient is φ = 57330892800.

The previous prime is 260391905243. The next prime is 260391905287. The reversal of 260391905280 is 82509193062.

260391905280 is a `hidden beast` number, since 2 + 6 + 0 + 39 + 1 + 90 + 528 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (260391905287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6351022060 + ... + 6351022100.

It is an arithmetic number, because the mean of its divisors is an integer number (582702120).

Almost surely, 2^260391905280 is an apocalyptic number.

260391905280 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 260391905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559394035200).

260391905280 is an abundant number, since it is smaller than the sum of its proper divisors (858396165120).

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

260391905280 is a wasteful number, since it uses less digits than its factorization.

260391905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 260391905280 in words is "two hundred sixty billion, three hundred ninety-one million, nine hundred five thousand, two hundred eighty".