260168019640320 has 2048 divisors, whose sum is σ = 1032246084096000. Its totient is φ = 55168267714560.

The previous prime is 260168019640279. The next prime is 260168019640351. The reversal of 260168019640320 is 23046910861062.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 260168019640320.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68519360662 + ... + 68519364458.

It is an arithmetic number, because the mean of its divisors is an integer number (504026408250).

Almost surely, 2^{260168019640320} is an apocalyptic number.

260168019640320 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 260168019640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516123042048000).

260168019640320 is an abundant number, since it is smaller than the sum of its proper divisors (772078064455680).

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

260168019640320 is a wasteful number, since it uses less digits than its factorization.

260168019640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 260168019640320 in words is "two hundred sixty trillion, one hundred sixty-eight billion, nineteen million, six hundred forty thousand, three hundred twenty".