27254101344 has 192 divisors, whose sum is σ = 80231026176. Its totient is φ = 8055742464.

The previous prime is 27254101337. The next prime is 27254101379. The reversal of 27254101344 is 44310145272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2509494 + ... + 2520330.

It is an arithmetic number, because the mean of its divisors is an integer number (417869928).

Almost surely, 2^27254101344 is an apocalyptic number.

27254101344 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 27254101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40115513088).

27254101344 is an abundant number, since it is smaller than the sum of its proper divisors (52976924832).

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

27254101344 is a wasteful number, since it uses less digits than its factorization.

27254101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10957 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 27254101344 in words is "twenty-seven billion, two hundred fifty-four million, one hundred one thousand, three hundred forty-four".