27438449349168 has 1440 divisors, whose sum is σ = 102252426536960. Its totient is φ = 6989043916800.

The previous prime is 27438449349133. The next prime is 27438449349173. The reversal of 27438449349168 is 86194394483472.

27438449349168 is a `hidden beast` number, since 2 + 7 + 4 + 3 + 8 + 44 + 93 + 491 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27438449349096 and 27438449349105.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6087960771 + ... + 6087965277.

Almost surely, 2^{27438449349168} 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 27438449349168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51126213268480).

27438449349168 is an abundant number, since it is smaller than the sum of its proper divisors (74813977187792).

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

27438449349168 is a wasteful number, since it uses less digits than its factorization.

27438449349168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 4584 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 27438449349168 in words is "twenty-seven trillion, four hundred thirty-eight billion, four hundred forty-nine million, three hundred forty-nine thousand, one hundred sixty-eight".