260109020080 has 320 divisors, whose sum is σ = 760743809280. Its totient is φ = 80512892928.

The previous prime is 260109020077. The next prime is 260109020089. The reversal of 260109020080 is 80020901062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (260109020089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150090894 + ... + 150092626.

It is an arithmetic number, because the mean of its divisors is an integer number (2377324404).

Almost surely, 2^260109020080 is an apocalyptic number.

260109020080 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 260109020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380371904640).

260109020080 is an abundant number, since it is smaller than the sum of its proper divisors (500634789200).

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

260109020080 is a wasteful number, since it uses less digits than its factorization.

260109020080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 260109020080 in words is "two hundred sixty billion, one hundred nine million, twenty thousand, eighty".