27295487334468 has 144 divisors (see below), whose sum is σ = 70366518781104. Its totient is φ = 8920049909760.

The previous prime is 27295487334461. The next prime is 27295487334491. The reversal of 27295487334468 is 86443378459272.

27295487334468 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 54 + 87 + 3 + 34 + 468 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 430837329924 + 26864650004544 = 656382^2 + 5183112^2 .

It is a super-2 number, since 2×27295487334468² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27295487334396 and 27295487334405.

It is not an unprimeable number, because it can be changed into a prime (27295487334461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162353346 + ... + 162521382.

Almost surely, 2^{27295487334468} is an apocalyptic number.

It is an amenable number.

27295487334468 is an abundant number, since it is smaller than the sum of its proper divisors (43071031446636).

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

27295487334468 is a wasteful number, since it uses less digits than its factorization.

27295487334468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168582 (or 168577 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 27295487334468 in words is "twenty-seven trillion, two hundred ninety-five billion, four hundred eighty-seven million, three hundred thirty-four thousand, four hundred sixty-eight".