13271406180480 has 512 divisors, whose sum is σ = 54014467852800. Its totient is φ = 3016699822080.

The previous prime is 13271406180427. The next prime is 13271406180523. The reversal of 13271406180480 is 8408160417231.

13271406180480 is a `hidden beast` number, since 1 + 3 + 2 + 71 + 40 + 61 + 8 + 0 + 480 = 666.

It is a super-2 number, since 2×13271406180480² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21590674 + ... + 22196846.

It is an arithmetic number, because the mean of its divisors is an integer number (105497007525).

Almost surely, 2^{13271406180480} is an apocalyptic number.

13271406180480 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 13271406180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007233926400).

13271406180480 is an abundant number, since it is smaller than the sum of its proper divisors (40743061672320).

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

13271406180480 is a wasteful number, since it uses less digits than its factorization.

13271406180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606389 (or 606371 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13271406180480 in words is "thirteen trillion, two hundred seventy-one billion, four hundred six million, one hundred eighty thousand, four hundred eighty".