27151409545344 has 192 divisors, whose sum is σ = 90111782904000. Its totient is φ = 7686375192576.

The previous prime is 27151409545343. The next prime is 27151409545357. The reversal of 27151409545344 is 44354590415172.

27151409545344 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 14 + 0 + 95 + 4 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (27151409545343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14565934 + ... + 16323885.

It is an arithmetic number, because the mean of its divisors is an integer number (469332202625).

Almost surely, 2^{27151409545344} is an apocalyptic number.

27151409545344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27151409545344 is an abundant number, since it is smaller than the sum of its proper divisors (62960373358656).

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

27151409545344 is a wasteful number, since it uses less digits than its factorization.

27151409545344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30889955 (or 30889940 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 27151409545344 in words is "twenty-seven trillion, one hundred fifty-one billion, four hundred nine million, five hundred forty-five thousand, three hundred forty-four".