27114214400 has 528 divisors, whose sum is σ = 84262773504. Its totient is φ = 8422686720.

The previous prime is 27114214373. The next prime is 27114214409. The reversal of 27114214400 is 441241172.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 27114214400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27114214409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239948744 + ... + 239948856.

Almost surely, 2^27114214400 is an apocalyptic number.

27114214400 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 27114214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131386752).

27114214400 is an abundant number, since it is smaller than the sum of its proper divisors (57148559104).

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

27114214400 is a wasteful number, since it uses less digits than its factorization.

27114214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 27114214400 its reverse (441241172), we get a palindrome (27555455572).

The spelling of 27114214400 in words is "twenty-seven billion, one hundred fourteen million, two hundred fourteen thousand, four hundred".