13527035013712 has 80 divisors (see below), whose sum is σ = 30097325880000. Its totient is φ = 5824789125120.

The previous prime is 13527035013671. The next prime is 13527035013749. The reversal of 13527035013712 is 21731053072531.

It is a super-3 number, since 3×13527035013712³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 92719768 + ... + 92865544.

It is an arithmetic number, because the mean of its divisors is an integer number (376216573500).

Almost surely, 2^{13527035013712} is an apocalyptic number.

It is an amenable number.

13527035013712 is an abundant number, since it is smaller than the sum of its proper divisors (16570290866288).

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

13527035013712 is a wasteful number, since it uses less digits than its factorization.

13527035013712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173564 (or 173558 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The spelling of 13527035013712 in words is "thirteen trillion, five hundred twenty-seven billion, thirty-five million, thirteen thousand, seven hundred twelve".