27138330624 has 104 divisors (see below), whose sum is σ = 74044280992. Its totient is φ = 8835563520.

The previous prime is 27138330617. The next prime is 27138330631. The reversal of 27138330624 is 42603383172.

It is an interprime number because it is at equal distance from previous prime (27138330617) and next prime (27138330631).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502704 + ... + 554064.

Almost surely, 2^27138330624 is an apocalyptic number.

27138330624 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 27138330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37022140496).

27138330624 is an abundant number, since it is smaller than the sum of its proper divisors (46905950368).

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

27138330624 is an equidigital number, since it uses as much as digits as its factorization.

27138330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51431 (or 51409 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 27138330624 in words is "twenty-seven billion, one hundred thirty-eight million, three hundred thirty thousand, six hundred twenty-four".