27938963446272 has 160 divisors (see below), whose sum is σ = 87566053449600. Its totient is φ = 8765164929024.

The previous prime is 27938963446223. The next prime is 27938963446279. The reversal of 27938963446272 is 27264436983972.

27938963446272 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 8 + 9 + 6 + 344 + 6 + 272 = 666.

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 27938963446272.

It is not an unprimeable number, because it can be changed into a prime (27938963446279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59207572 + ... + 59677587.

It is an arithmetic number, because the mean of its divisors is an integer number (547287834060).

Almost surely, 2^{27938963446272} is an apocalyptic number.

It is an amenable number.

27938963446272 is an abundant number, since it is smaller than the sum of its proper divisors (59627090003328).

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

27938963446272 is a wasteful number, since it uses less digits than its factorization.

27938963446272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118885203 (or 118885181 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 27938963446272 in words is "twenty-seven trillion, nine hundred thirty-eight billion, nine hundred sixty-three million, four hundred forty-six thousand, two hundred seventy-two".