27414427627700 has 72 divisors (see below), whose sum is σ = 59805096228864. Its totient is φ = 10907569552000.

The previous prime is 27414427627681. The next prime is 27414427627703. The reversal of 27414427627700 is 772672441472.

It is a happy number.

27414427627700 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27414427627703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313597397 + ... + 313684803.

It is an arithmetic number, because the mean of its divisors is an integer number (830626336512).

Almost surely, 2^{27414427627700} is an apocalyptic number.

27414427627700 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 27414427627700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29902548114432).

27414427627700 is an abundant number, since it is smaller than the sum of its proper divisors (32390668601164).

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

27414427627700 is a wasteful number, since it uses less digits than its factorization.

27414427627700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104033 (or 104026 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 53.

The spelling of 27414427627700 in words is "twenty-seven trillion, four hundred fourteen billion, four hundred twenty-seven million, six hundred twenty-seven thousand, seven hundred".