27046622148288 has 224 divisors, whose sum is σ = 72409911974400. Its totient is φ = 8909320273920.

The previous prime is 27046622148281. The next prime is 27046622148317. The reversal of 27046622148288 is 88284122664072.

It is a happy number.

It is a super-2 number, since 2×27046622148288² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27046622148281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6756586095 + ... + 6756590097.

It is an arithmetic number, because the mean of its divisors is an integer number (323258535600).

Almost surely, 2^{27046622148288} 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 27046622148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36204955987200).

27046622148288 is an abundant number, since it is smaller than the sum of its proper divisors (45363289826112).

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

27046622148288 is a wasteful number, since it uses less digits than its factorization.

27046622148288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 60.

The spelling of 27046622148288 in words is "twenty-seven trillion, forty-six billion, six hundred twenty-two million, one hundred forty-eight thousand, two hundred eighty-eight".