13027162356 has 144 divisors (see below), whose sum is σ = 39525595200. Its totient is φ = 3573974016.

The previous prime is 13027162327. The next prime is 13027162361. The reversal of 13027162356 is 65326172031.

13027162356 is a `hidden beast` number, since 1 + 3 + 0 + 27 + 1 + 623 + 5 + 6 = 666.

13027162356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13027162356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108075 + ... + 194253.

It is an arithmetic number, because the mean of its divisors is an integer number (274483300).

Almost surely, 2^13027162356 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 13027162356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762797600).

13027162356 is an abundant number, since it is smaller than the sum of its proper divisors (26498432844).

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

13027162356 is a wasteful number, since it uses less digits than its factorization.

13027162356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86238 (or 86233 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13027162356 in words is "thirteen billion, twenty-seven million, one hundred sixty-two thousand, three hundred fifty-six".