27481866818472 has 192 divisors, whose sum is σ = 84216584424960. Its totient is φ = 8022535488000.

The previous prime is 27481866818437. The next prime is 27481866818503.

27481866818472 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 1 + 86 + 68 + 18 + 472 = 666.

27481866818472 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 27481866818472.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682968 + ... + 7602375.

It is an arithmetic number, because the mean of its divisors is an integer number (438628043880).

Almost surely, 2^{27481866818472} is an apocalyptic number.

27481866818472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27481866818472 is an abundant number, since it is smaller than the sum of its proper divisors (56734717606488).

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

27481866818472 is a wasteful number, since it uses less digits than its factorization.

27481866818472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285504 (or 9285497 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 72.

The spelling of 27481866818472 in words is "twenty-seven trillion, four hundred eighty-one billion, eight hundred sixty-six million, eight hundred eighteen thousand, four hundred seventy-two".