13527279067848 has 192 divisors, whose sum is σ = 42463517160960. Its totient is φ = 3559392958464.

The previous prime is 13527279067829. The next prime is 13527279067867. The reversal of 13527279067848 is 84876097272531.

It is an interprime number because it is at equal distance from previous prime (13527279067829) and next prime (13527279067867).

It is a super-2 number, since 2×13527279067848² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5597961 + ... + 7641447.

It is an arithmetic number, because the mean of its divisors is an integer number (221164151880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13527279067848 = 27054558135696, but 3⋅13527279067848 = 40581837203544 is not.

Almost surely, 2^{13527279067848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13527279067848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21231758580480).

13527279067848 is an abundant number, since it is smaller than the sum of its proper divisors (28936238093112).

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

13527279067848 is a wasteful number, since it uses less digits than its factorization.

13527279067848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043956 (or 2043945 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 13527279067848 in words is "thirteen trillion, five hundred twenty-seven billion, two hundred seventy-nine million, sixty-seven thousand, eight hundred forty-eight".