13480334098560 has 768 divisors, whose sum is σ = 55738709994240. Its totient is φ = 3049430188032.

The previous prime is 13480334098531. The next prime is 13480334098577. The reversal of 13480334098560 is 6589043308431.

13480334098560 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 0 + 33 + 40 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13480334098497 and 13480334098506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105534252 + ... + 105661908.

It is an arithmetic number, because the mean of its divisors is an integer number (72576445305).

Almost surely, 2^{13480334098560} is an apocalyptic number.

13480334098560 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 13480334098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869354997120).

13480334098560 is an abundant number, since it is smaller than the sum of its proper divisors (42258375895680).

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

13480334098560 is an equidigital number, since it uses as much as digits as its factorization.

13480334098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127795 (or 127771 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 13480334098560 in words is "thirteen trillion, four hundred eighty billion, three hundred thirty-four million, ninety-eight thousand, five hundred sixty".