27035366353072 has 40 divisors (see below), whose sum is σ = 65306209635072. Its totient is φ = 10533259617600.

The previous prime is 27035366353027. The next prime is 27035366353091.

27035366353072 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27035366353072² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10972144204 + ... + 10972146667.

Almost surely, 2^{27035366353072} is an apocalyptic number.

27035366353072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27035366353072 is an abundant number, since it is smaller than the sum of its proper divisors (38270843282000).

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

27035366353072 is a wasteful number, since it uses less digits than its factorization.

27035366353072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21944290897 (or 21944290891 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 52.

The spelling of 27035366353072 in words is "twenty-seven trillion, thirty-five billion, three hundred sixty-six million, three hundred fifty-three thousand, seventy-two".