27321111112372 has 96 divisors (see below), whose sum is σ = 60320713017600. Its totient is φ = 10518361989120.

The previous prime is 27321111112357. The next prime is 27321111112409.

27321111112372 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27321111112372² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7314838 + ... + 10399474.

It is an arithmetic number, because the mean of its divisors is an integer number (628340760600).

Almost surely, 2^{27321111112372} is an apocalyptic number.

27321111112372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27321111112372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30160356508800).

27321111112372 is an abundant number, since it is smaller than the sum of its proper divisors (32999601905228).

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

27321111112372 is a wasteful number, since it uses less digits than its factorization.

27321111112372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085001 (or 3084999 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

It can be divided in two parts, 2732111 and 1112372, that added together give a palindrome (3844483).

The spelling of 27321111112372 in words is "twenty-seven trillion, three hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, three hundred seventy-two".