27089943555400 has 192 divisors, whose sum is σ = 68820162192000. Its totient is φ = 9835100467200.

The previous prime is 27089943555397. The next prime is 27089943555403. The reversal of 27089943555400 is 455534998072.

It is an interprime number because it is at equal distance from previous prime (27089943555397) and next prime (27089943555403).

It is not an unprimeable number, because it can be changed into a prime (27089943555403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5994674341 + ... + 5994678859.

It is an arithmetic number, because the mean of its divisors is an integer number (358438344750).

Almost surely, 2^{27089943555400} is an apocalyptic number.

27089943555400 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 27089943555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410081096000).

27089943555400 is an abundant number, since it is smaller than the sum of its proper divisors (41730218636600).

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

27089943555400 is a wasteful number, since it uses less digits than its factorization.

27089943555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 61.

The spelling of 27089943555400 in words is "twenty-seven trillion, eighty-nine billion, nine hundred forty-three million, five hundred fifty-five thousand, four hundred".