13327865925840 has 560 divisors, whose sum is σ = 46754937559440. Its totient is φ = 3531582996480.

The previous prime is 13327865925799. The next prime is 13327865925877. The reversal of 13327865925840 is 4852956872331.

13327865925840 is a `hidden beast` number, since 1 + 3 + 32 + 7 + 8 + 6 + 592 + 5 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1682136368784 + 11645729557056 = 1296972^2 + 3412584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9459095056 + ... + 9459096464.

It is a 1-persistent number, because it is pandigital, but 2⋅13327865925840 = 26655731851680 is not.

Almost surely, 2^{13327865925840} is an apocalyptic number.

13327865925840 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 13327865925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23377468779720).

13327865925840 is an abundant number, since it is smaller than the sum of its proper divisors (33427071633600).

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

13327865925840 is a wasteful number, since it uses less digits than its factorization.

13327865925840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 13327865925840 in words is "thirteen trillion, three hundred twenty-seven billion, eight hundred sixty-five million, nine hundred twenty-five thousand, eight hundred forty".