27035133153072 has 40 divisors (see below), whose sum is σ = 76189920705600. Its totient is φ = 8192464591680.

The previous prime is 27035133153029. The next prime is 27035133153073.

27035133153072 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (27035133153073) by changing a digit.

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, 25601451322 + ... + 25601452377.

It is an arithmetic number, because the mean of its divisors is an integer number (1904748017640).

Almost surely, 2^{27035133153072} is an apocalyptic number.

27035133153072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27035133153072 is an abundant number, since it is smaller than the sum of its proper divisors (49154787552528).

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

27035133153072 is a wasteful number, since it uses less digits than its factorization.

27035133153072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51202903721 (or 51202903715 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 42.

It can be divided in two parts, 2703513 and 3153072, that added together give a palindrome (5856585).

The spelling of 27035133153072 in words is "twenty-seven trillion, thirty-five billion, one hundred thirty-three million, one hundred fifty-three thousand, seventy-two".