260114281221312 has 448 divisors, whose sum is σ = 875816107648000. Its totient is φ = 74157975650304.

The previous prime is 260114281221269. The next prime is 260114281221337. The reversal of 260114281221312 is 213122182411062.

260114281221312 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 1 + 42 + 81 + 221 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31686471864 + ... + 31686480072.

Almost surely, 2^{260114281221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260114281221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437908053824000).

260114281221312 is an abundant number, since it is smaller than the sum of its proper divisors (615701826426688).

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

260114281221312 is a wasteful number, since it uses less digits than its factorization.

260114281221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 260114281221312 in words is "two hundred sixty trillion, one hundred fourteen billion, two hundred eighty-one million, two hundred twenty-one thousand, three hundred twelve".