27002033020072 has 64 divisors (see below), whose sum is σ = 55396585843200. Its totient is φ = 12236985647040.

The previous prime is 27002033020069. The next prime is 27002033020093.

27002033020072 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27002033020072² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27002033020072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61245973 + ... + 61685275.

It is an arithmetic number, because the mean of its divisors is an integer number (865571653800).

Almost surely, 2^{27002033020072} is an apocalyptic number.

27002033020072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27002033020072 is an abundant number, since it is smaller than the sum of its proper divisors (28394552823128).

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

27002033020072 is a wasteful number, since it uses less digits than its factorization.

27002033020072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441406 (or 441402 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

It can be divided in two parts, 2700203 and 3020072, that added together give a palindrome (5720275).

The spelling of 27002033020072 in words is "twenty-seven trillion, two billion, thirty-three million, twenty thousand, seventy-two".