13627522656 has 144 divisors (see below), whose sum is σ = 42610434048. Its totient is φ = 4096915200.

The previous prime is 13627522637. The next prime is 13627522663. The reversal of 13627522656 is 65622572631.

13627522656 is a `hidden beast` number, since 1 + 3 + 62 + 7 + 522 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385401 + ... + 419271.

It is an arithmetic number, because the mean of its divisors is an integer number (295905792).

Almost surely, 2^13627522656 is an apocalyptic number.

13627522656 is a gapful number since it is divisible by the number (16) 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 13627522656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21305217024).

13627522656 is an abundant number, since it is smaller than the sum of its proper divisors (28982911392).

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

13627522656 is a wasteful number, since it uses less digits than its factorization.

13627522656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34025 (or 34014 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 13627522656 in words is "thirteen billion, six hundred twenty-seven million, five hundred twenty-two thousand, six hundred fifty-six".