27438894670000 has 200 divisors, whose sum is σ = 72487738648512. Its totient is φ = 9975559200000.

The previous prime is 27438894669983. The next prime is 27438894670003. The reversal of 27438894670000 is 7649883472.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×27438894670000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27438894670003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 542384707 + ... + 542435293.

Almost surely, 2^{27438894670000} is an apocalyptic number.

27438894670000 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 27438894670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36243869324256).

27438894670000 is an abundant number, since it is smaller than the sum of its proper divisors (45048843978512).

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

27438894670000 is a wasteful number, since it uses less digits than its factorization.

27438894670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55557 (or 55536 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 27438894670000 in words is "twenty-seven trillion, four hundred thirty-eight billion, eight hundred ninety-four million, six hundred seventy thousand".