13479286308480 has 320 divisors, whose sum is σ = 48415245733800. Its totient is φ = 3573696651264.

The previous prime is 13479286308461. The next prime is 13479286308487. The reversal of 13479286308480 is 8480368297431.

13479286308480 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 9 + 286 + 308 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10327070707776 + 3152215600704 = 3213576^2 + 1775448^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (13479286308487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8216826 + ... + 9719814.

Almost surely, 2^{13479286308480} is an apocalyptic number.

13479286308480 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 13479286308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24207622866900).

13479286308480 is an abundant number, since it is smaller than the sum of its proper divisors (34935959425320).

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

13479286308480 is a wasteful number, since it uses less digits than its factorization.

13479286308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503193 (or 1503172 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 13479286308480 in words is "thirteen trillion, four hundred seventy-nine billion, two hundred eighty-six million, three hundred eight thousand, four hundred eighty".