27106000320 has 448 divisors, whose sum is σ = 101066803200. Its totient is φ = 6152380416.

The previous prime is 27106000309. The next prime is 27106000331. The reversal of 27106000320 is 2300060172.

It is a happy number.

It is a Cunningham number, because it is equal to 164639²-1.

It is an interprime number because it is at equal distance from previous prime (27106000309) and next prime (27106000331).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86600484 + ... + 86600796.

Almost surely, 2^27106000320 is an apocalyptic number.

27106000320 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 27106000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50533401600).

27106000320 is an abundant number, since it is smaller than the sum of its proper divisors (73960802880).

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

27106000320 is a wasteful number, since it uses less digits than its factorization.

27106000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 27106000320 its reverse (2300060172), we get a palindrome (29406060492).

The spelling of 27106000320 in words is "twenty-seven billion, one hundred six million, three hundred twenty", and thus it is an aban number.