13282667871480 has 576 divisors, whose sum is σ = 52425068754240. Its totient is φ = 2902644670464.

The previous prime is 13282667871463. The next prime is 13282667871643. The reversal of 13282667871480 is 8417876628231.

It is a happy number.

13282667871480 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 26 + 67 + 8 + 71 + 480 = 666.

13282667871480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1004961832 + ... + 1004975048.

It is an arithmetic number, because the mean of its divisors is an integer number (91015744365).

Almost surely, 2^{13282667871480} is an apocalyptic number.

13282667871480 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 13282667871480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26212534377120).

13282667871480 is an abundant number, since it is smaller than the sum of its proper divisors (39142400882760).

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

13282667871480 is a wasteful number, since it uses less digits than its factorization.

13282667871480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15748 (or 15734 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 13282667871480 in words is "thirteen trillion, two hundred eighty-two billion, six hundred sixty-seven million, eight hundred seventy-one thousand, four hundred eighty".