260889016320 has 768 divisors, whose sum is σ = 974937600000. Its totient is φ = 66089779200.

The previous prime is 260889016319. The next prime is 260889016327. The reversal of 260889016320 is 23610988062.

260889016320 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 8 + 9 + 0 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260889016327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522823431 + ... + 522823929.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450000).

Almost surely, 2^260889016320 is an apocalyptic number.

260889016320 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 260889016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800000).

260889016320 is an abundant number, since it is smaller than the sum of its proper divisors (714048583680).

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

260889016320 is a wasteful number, since it uses less digits than its factorization.

260889016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 260889016320 in words is "two hundred sixty billion, eight hundred eighty-nine million, sixteen thousand, three hundred twenty".