260055878880 has 768 divisors, whose sum is σ = 1056381419520. Its totient is φ = 52343635968.

The previous prime is 260055878839. The next prime is 260055878903. The reversal of 260055878880 is 88878550062.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 260055878880.

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 127 ways as a sum of consecutive naturals, for example, 90076797 + ... + 90079683.

It is an arithmetic number, because the mean of its divisors is an integer number (1375496640).

Almost surely, 2^260055878880 is an apocalyptic number.

260055878880 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 260055878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528190709760).

260055878880 is an abundant number, since it is smaller than the sum of its proper divisors (796325540640).

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

260055878880 is a wasteful number, since it uses less digits than its factorization.

260055878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 57.

The spelling of 260055878880 in words is "two hundred sixty billion, fifty-five million, eight hundred seventy-eight thousand, eight hundred eighty".