13626096384960 has 392 divisors, whose sum is σ = 48679198720656. Its totient is φ = 3631329792000.

The previous prime is 13626096384937. The next prime is 13626096384961. The reversal of 13626096384960 is 6948369062631.

It is a happy number.

13626096384960 is a `hidden beast` number, since 1 + 3 + 6 + 26 + 0 + 96 + 38 + 496 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13626096384961) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 386527335 + ... + 386562585.

Almost surely, 2^{13626096384960} is an apocalyptic number.

13626096384960 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 13626096384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24339599360328).

13626096384960 is an abundant number, since it is smaller than the sum of its proper divisors (35053102335696).

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

13626096384960 is an equidigital number, since it uses as much as digits as its factorization.

13626096384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36943 (or 36918 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 13626096384960 in words is "thirteen trillion, six hundred twenty-six billion, ninety-six million, three hundred eighty-four thousand, nine hundred sixty".