260688021216 has 192 divisors, whose sum is σ = 818121378816. Its totient is φ = 71064576000.

The previous prime is 260688021169. The next prime is 260688021247. The reversal of 260688021216 is 612120886062.

260688021216 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 2×260688021216² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 6176826 + ... + 6218886.

It is an arithmetic number, because the mean of its divisors is an integer number (4261048848).

Almost surely, 2^260688021216 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 260688021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409060689408).

260688021216 is an abundant number, since it is smaller than the sum of its proper divisors (557433357600).

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

260688021216 is a wasteful number, since it uses less digits than its factorization.

260688021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42505 (or 42497 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 260688021216 in words is "two hundred sixty billion, six hundred eighty-eight million, twenty-one thousand, two hundred sixteen".