27227240557920 has 768 divisors, whose sum is σ = 110004387413760. Its totient is φ = 6307831480320.

The previous prime is 27227240557901. The next prime is 27227240557991. The reversal of 27227240557920 is 2975504272272.

27227240557920 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 7 + 2 + 40 + 5 + 579 + 20 = 666.

It is a super-3 number, since 3×27227240557920³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77156280 + ... + 77508360.

It is an arithmetic number, because the mean of its divisors is an integer number (143234879445).

Almost surely, 2^{27227240557920} is an apocalyptic number.

27227240557920 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 27227240557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55002193706880).

27227240557920 is an abundant number, since it is smaller than the sum of its proper divisors (82777146855840).

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

27227240557920 is a wasteful number, since it uses less digits than its factorization.

27227240557920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352147 (or 352121 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 27227240557920 in words is "twenty-seven trillion, two hundred twenty-seven billion, two hundred forty million, five hundred fifty-seven thousand, nine hundred twenty".