27148214016 has 720 divisors, whose sum is σ = 103282502400. Its totient is φ = 7031162880.

The previous prime is 27148213999. The next prime is 27148214053. The reversal of 27148214016 is 61041284172.

It is a happy number.

27148214016 is a `hidden beast` number, since 27 + 1 + 482 + 140 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78236755 + ... + 78237101.

It is an arithmetic number, because the mean of its divisors is an integer number (143447920).

Almost surely, 2^27148214016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27148214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51641251200).

27148214016 is an abundant number, since it is smaller than the sum of its proper divisors (76134288384).

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

27148214016 is an equidigital number, since it uses as much as digits as its factorization.

27148214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 27148214016 its reverse (61041284172), we get a palindrome (88189498188).

The spelling of 27148214016 in words is "twenty-seven billion, one hundred forty-eight million, two hundred fourteen thousand, sixteen".