13260905280 has 840 divisors, whose sum is σ = 56191955688. Its totient is φ = 2958778368.

The previous prime is 13260905263. The next prime is 13260905291. The reversal of 13260905280 is 8250906231.

It can be written as a sum of positive squares in 4 ways, for example, as 6261240384 + 6999664896 = 79128^2 + 83664^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 67314142 + ... + 67314338.

Almost surely, 2^13260905280 is an apocalyptic number.

13260905280 is a gapful number since it is divisible by the number (10) 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 13260905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28095977844).

13260905280 is an abundant number, since it is smaller than the sum of its proper divisors (42931050408).

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

13260905280 is a wasteful number, since it uses less digits than its factorization.

13260905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13260905280 in words is "thirteen billion, two hundred sixty million, nine hundred five thousand, two hundred eighty".