260198823360 has 896 divisors, whose sum is σ = 1012264501248. Its totient is φ = 55351296000.

The previous prime is 260198823323. The next prime is 260198823371. The reversal of 260198823360 is 63328891062.

260198823360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 1437562470 + ... + 1437562650.

It is an arithmetic number, because the mean of its divisors is an integer number (1129759488).

Almost surely, 2^260198823360 is an apocalyptic number.

260198823360 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 260198823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506132250624).

260198823360 is an abundant number, since it is smaller than the sum of its proper divisors (752065677888).

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

260198823360 is a wasteful number, since it uses less digits than its factorization.

260198823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 260198823360 in words is "two hundred sixty billion, one hundred ninety-eight million, eight hundred twenty-three thousand, three hundred sixty".