13427475579904 has 99 divisors (see below), whose sum is σ = 27001946645037. Its totient is φ = 6673928269824.

The previous prime is 13427475579877. The next prime is 13427475579907. The reversal of 13427475579904 is 40997557472431.

The square root of 13427475579904 is 3664352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7298642560000 + 6128833019904 = 2701600^2 + 2475648^2 .

It is a super-2 number, since 2×13427475579904² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13427475579904.

It is not an unprimeable number, because it can be changed into a prime (13427475579907) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 35998593862 + ... + 35998594234.

Almost surely, 2^{13427475579904} is an apocalyptic number.

13427475579904 is the 3664352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13427475579904

13427475579904 is an abundant number, since it is smaller than the sum of its proper divisors (13574471065133).

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

13427475579904 is an frugal number, since it uses more digits than its factorization.

13427475579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 67.

The spelling of 13427475579904 in words is "thirteen trillion, four hundred twenty-seven billion, four hundred seventy-five million, five hundred seventy-nine thousand, nine hundred four".