27950031917712 has 30 divisors (see below), whose sum is σ = 78221269881222. Its totient is φ = 9316677305856.

The previous prime is 27950031917671. The next prime is 27950031917719. The reversal of 27950031917712 is 21771913005972.

27950031917712 is a `hidden beast` number, since 2 + 7 + 9 + 500 + 31 + 91 + 7 + 7 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20298412901376 + 7651619016336 = 4505376^2 + 2766156^2 .

It is a super-2 number, since 2×27950031917712² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27950031917719) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97048721793 + ... + 97048722080.

Almost surely, 2^{27950031917712} is an apocalyptic number.

It is an amenable number.

27950031917712 is an abundant number, since it is smaller than the sum of its proper divisors (50271237963510).

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

27950031917712 is a wasteful number, since it uses less digits than its factorization.

27950031917712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194097443887 (or 194097443878 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 27950031917712 in words is "twenty-seven trillion, nine hundred fifty billion, thirty-one million, nine hundred seventeen thousand, seven hundred twelve".