260865755023104 has 1728 divisors, whose sum is σ = 995019754659840. Its totient is φ = 63764692992000.

The previous prime is 260865755023039. The next prime is 260865755023121. The reversal of 260865755023104 is 401320557568062.

260865755023104 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 6 + 57 + 550 + 2 + 31 + 0 + 4 = 666.

It is a super-3 number, since 3×260865755023104³ (a number of 44 digits) contains 333 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 191 ways as a sum of consecutive naturals, for example, 29857584624 + ... + 29857593360.

It is an arithmetic number, because the mean of its divisors is an integer number (575821617280).

Almost surely, 2^{260865755023104} is an apocalyptic number.

260865755023104 is a gapful number since it is divisible by the number (24) 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 260865755023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497509877329920).

260865755023104 is an abundant number, since it is smaller than the sum of its proper divisors (734153999636736).

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

260865755023104 is a wasteful number, since it uses less digits than its factorization.

260865755023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 260865755023104 in words is "two hundred sixty trillion, eight hundred sixty-five billion, seven hundred fifty-five million, twenty-three thousand, one hundred four".