27612344321672 has 64 divisors (see below), whose sum is σ = 59453344051200. Its totient is φ = 11890297592640.

The previous prime is 27612344321633. The next prime is 27612344321707.

27612344321672 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 27612344321672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198776513 + ... + 198915375.

It is an arithmetic number, because the mean of its divisors is an integer number (928958500800).

Almost surely, 2^{27612344321672} is an apocalyptic number.

27612344321672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27612344321672 is an abundant number, since it is smaller than the sum of its proper divisors (31840999729528).

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

27612344321672 is a wasteful number, since it uses less digits than its factorization.

27612344321672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257826 (or 257822 counting only the distinct ones).

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

The spelling of 27612344321672 in words is "twenty-seven trillion, six hundred twelve billion, three hundred forty-four million, three hundred twenty-one thousand, six hundred seventy-two".