13326414934560 has 1152 divisors, whose sum is σ = 52806878208000. Its totient is φ = 2765603782656.

The previous prime is 13326414934531. The next prime is 13326414934631. The reversal of 13326414934560 is 6543941462331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18796071486 + ... + 18796072194.

It is an arithmetic number, because the mean of its divisors is an integer number (45839304000).

Almost surely, 2^{13326414934560} is an apocalyptic number.

13326414934560 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 13326414934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26403439104000).

13326414934560 is an abundant number, since it is smaller than the sum of its proper divisors (39480463273440).

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

13326414934560 is a wasteful number, since it uses less digits than its factorization.

13326414934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 13326414934560 in words is "thirteen trillion, three hundred twenty-six billion, four hundred fourteen million, nine hundred thirty-four thousand, five hundred sixty".