27213555531272 has 64 divisors (see below), whose sum is σ = 56545219065600. Its totient is φ = 12174320600640.

The previous prime is 27213555531223. The next prime is 27213555531293.

27213555531272 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27213555531272.

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 15 ways as a sum of consecutive naturals, for example, 4566179 + ... + 8676237.

It is an arithmetic number, because the mean of its divisors is an integer number (883519047900).

Almost surely, 2^{27213555531272} is an apocalyptic number.

27213555531272 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 27213555531272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28272609532800).

27213555531272 is an abundant number, since it is smaller than the sum of its proper divisors (29331663534328).

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

27213555531272 is a wasteful number, since it uses less digits than its factorization.

27213555531272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111266 (or 4111262 counting only the distinct ones).

The product of its digits is 4410000, while the sum is 50.

The spelling of 27213555531272 in words is "twenty-seven trillion, two hundred thirteen billion, five hundred fifty-five million, five hundred thirty-one thousand, two hundred seventy-two".