27856617228440 has 512 divisors, whose sum is σ = 86917104691200. Its totient is φ = 7755708579840.

The previous prime is 27856617228403. The next prime is 27856617228457. The reversal of 27856617228440 is 4482271665872.

It is a happy number.

It is a super-2 number, since 2×27856617228440² (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 127 ways as a sum of consecutive naturals, for example, 154824851 + ... + 155004669.

It is an arithmetic number, because the mean of its divisors is an integer number (169759970100).

Almost surely, 2^{27856617228440} is an apocalyptic number.

27856617228440 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 27856617228440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43458552345600).

27856617228440 is an abundant number, since it is smaller than the sum of its proper divisors (59060487462760).

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

27856617228440 is a wasteful number, since it uses less digits than its factorization.

27856617228440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179987 (or 179983 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 62.

The spelling of 27856617228440 in words is "twenty-seven trillion, eight hundred fifty-six billion, six hundred seventeen million, two hundred twenty-eight thousand, four hundred forty".