27134139247488 has 768 divisors, whose sum is σ = 97859950755840. Its totient is φ = 7026378670080.

The previous prime is 27134139247451. The next prime is 27134139247499. The reversal of 27134139247488 is 88474293143172.

It is a happy number.

27134139247488 is a `hidden beast` number, since 2 + 7 + 1 + 341 + 3 + 9 + 247 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1291414903 + ... + 1291435913.

It is an arithmetic number, because the mean of its divisors is an integer number (127421810880).

Almost surely, 2^{27134139247488} is an apocalyptic number.

27134139247488 is a gapful number since it is divisible by the number (28) 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 27134139247488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48929975377920).

27134139247488 is an abundant number, since it is smaller than the sum of its proper divisors (70725811508352).

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

27134139247488 is a wasteful number, since it uses less digits than its factorization.

27134139247488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21275 (or 21260 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 27134139247488 in words is "twenty-seven trillion, one hundred thirty-four billion, one hundred thirty-nine million, two hundred forty-seven thousand, four hundred eighty-eight".