260064261216 has 288 divisors, whose sum is σ = 785265062400. Its totient is φ = 81474066432.

The previous prime is 260064261203. The next prime is 260064261221. The reversal of 260064261216 is 612162460062.

260064261216 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 642 + 6 + 1 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109407420 + ... + 109409796.

It is an arithmetic number, because the mean of its divisors is an integer number (2726614800).

Almost surely, 2^260064261216 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 260064261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392632531200).

260064261216 is an abundant number, since it is smaller than the sum of its proper divisors (525200801184).

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

260064261216 is a wasteful number, since it uses less digits than its factorization.

260064261216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 260064261216 in words is "two hundred sixty billion, sixty-four million, two hundred sixty-one thousand, two hundred sixteen".