27972644627972 has 24 divisors (see below), whose sum is σ = 53755979333952. Its totient is φ = 12630634236000.

The previous prime is 27972644627959. The next prime is 27972644628011.

It is a happy number.

27972644627972 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 27972644627972.

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, 2105099063 + ... + 2105112350.

It is an arithmetic number, because the mean of its divisors is an integer number (2239832472248).

Almost surely, 2^{27972644627972} is an apocalyptic number.

27972644627972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27972644627972 is a deficient number, since it is larger than the sum of its proper divisors (25783334705980).

27972644627972 is a wasteful number, since it uses less digits than its factorization.

27972644627972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210211579 (or 4210211577 counting only the distinct ones).

The product of its digits is 1792336896, while the sum is 74.

The spelling of 27972644627972 in words is "twenty-seven trillion, nine hundred seventy-two billion, six hundred forty-four million, six hundred twenty-seven thousand, nine hundred seventy-two".