13213670304960 has 560 divisors, whose sum is σ = 49809548844000. Its totient is φ = 3315768016896.

The previous prime is 13213670304931. The next prime is 13213670305027. The reversal of 13213670304960 is 6940307631231.

13213670304960 is a `hidden beast` number, since 1 + 3 + 213 + 6 + 70 + 304 + 9 + 60 = 666.

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 79 ways as a sum of consecutive naturals, for example, 73289484 + ... + 73469556.

Almost surely, 2^{13213670304960} is an apocalyptic number.

13213670304960 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 13213670304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24904774422000).

13213670304960 is an abundant number, since it is smaller than the sum of its proper divisors (36595878539040).

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

13213670304960 is a wasteful number, since it uses less digits than its factorization.

13213670304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180270 (or 180251 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 13213670304960 in words is "thirteen trillion, two hundred thirteen billion, six hundred seventy million, three hundred four thousand, nine hundred sixty".