27096006144 has 160 divisors (see below), whose sum is σ = 73214064000. Its totient is φ = 8904351744.

The previous prime is 27096006137. The next prime is 27096006169. The reversal of 27096006144 is 44160069072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38216862 + ... + 38217570.

It is an arithmetic number, because the mean of its divisors is an integer number (457587900).

Almost surely, 2^27096006144 is an apocalyptic number.

27096006144 is a gapful number since it is divisible by the number (24) 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 27096006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36607032000).

27096006144 is an abundant number, since it is smaller than the sum of its proper divisors (46118057856).

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

27096006144 is a wasteful number, since it uses less digits than its factorization.

27096006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 27096006144 in words is "twenty-seven billion, ninety-six million, six thousand, one hundred forty-four".