27434855712 has 96 divisors (see below), whose sum is σ = 78602759424. Its totient is φ = 8309433600.

The previous prime is 27434855639. The next prime is 27434855729. The reversal of 27434855712 is 21755843472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2599887 + ... + 2610417.

It is an arithmetic number, because the mean of its divisors is an integer number (818778744).

Almost surely, 2^27434855712 is an apocalyptic number.

27434855712 is a gapful number since it is divisible by the number (22) 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 27434855712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39301379712).

27434855712 is an abundant number, since it is smaller than the sum of its proper divisors (51167903712).

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

27434855712 is a wasteful number, since it uses less digits than its factorization.

27434855712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13022 (or 13014 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The spelling of 27434855712 in words is "twenty-seven billion, four hundred thirty-four million, eight hundred fifty-five thousand, seven hundred twelve".