260827727160 has 1536 divisors, whose sum is σ = 1152686868480. Its totient is φ = 46242201600.

The previous prime is 260827727159. The next prime is 260827727183. The reversal of 260827727160 is 61727728062.

260827727160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×260827727160² (a number of 24 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 1014893752 + ... + 1014894008.

It is an arithmetic number, because the mean of its divisors is an integer number (750447180).

Almost surely, 2^260827727160 is an apocalyptic number.

260827727160 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 260827727160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576343434240).

260827727160 is an abundant number, since it is smaller than the sum of its proper divisors (891859141320).

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

260827727160 is a wasteful number, since it uses less digits than its factorization.

260827727160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 260827727160 in words is "two hundred sixty billion, eight hundred twenty-seven million, seven hundred twenty-seven thousand, one hundred sixty".