27213141844920 has 128 divisors (see below), whose sum is σ = 84282540503040. Its totient is φ = 7021947525120.

The previous prime is 27213141844907. The next prime is 27213141844981. The reversal of 27213141844920 is 2944814131272.

It is a self number, because there is not a number n which added to its sum of digits gives 27213141844920.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 32648064 + ... + 33471216.

It is an arithmetic number, because the mean of its divisors is an integer number (658457347680).

Almost surely, 2^{27213141844920} is an apocalyptic number.

27213141844920 is a gapful number since it is divisible by the number (20) 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 27213141844920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42141270251520).

27213141844920 is an abundant number, since it is smaller than the sum of its proper divisors (57069398658120).

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

27213141844920 is a wasteful number, since it uses less digits than its factorization.

27213141844920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832085 (or 832081 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 27213141844920 in words is "twenty-seven trillion, two hundred thirteen billion, one hundred forty-one million, eight hundred forty-four thousand, nine hundred twenty".