27624133142672 has 40 divisors (see below), whose sum is σ = 58387799682720. Its totient is φ = 12556332250880.

The previous prime is 27624133142659. The next prime is 27624133142713.

27624133142672 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27624133142672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27398903 + ... + 28389225.

It is an arithmetic number, because the mean of its divisors is an integer number (1459694992068).

Almost surely, 2^{27624133142672} is an apocalyptic number.

27624133142672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27624133142672 is an abundant number, since it is smaller than the sum of its proper divisors (30763666540048).

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

27624133142672 is a wasteful number, since it uses less digits than its factorization.

27624133142672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148831 (or 1148825 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 50.

The spelling of 27624133142672 in words is "twenty-seven trillion, six hundred twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, six hundred seventy-two".