27455954381856 has 2016 divisors, whose sum is σ = 114877780391808. Its totient is φ = 6234465853440.

The previous prime is 27455954381813. The next prime is 27455954381899. The reversal of 27455954381856 is 65818345955472.

It is a happy number.

27455954381856 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 5 + 9 + 5 + 438 + 185 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (27455954381813) and next prime (27455954381899).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8429827780 + ... + 8429831036.

It is an arithmetic number, because the mean of its divisors is an integer number (56983025988).

Almost surely, 2^{27455954381856} is an apocalyptic number.

27455954381856 is a gapful number since it is divisible by the number (26) 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 27455954381856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57438890195904).

27455954381856 is an abundant number, since it is smaller than the sum of its proper divisors (87421826009952).

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

27455954381856 is a wasteful number, since it uses less digits than its factorization.

27455954381856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3312 counting only the distinct ones).

The product of its digits is 1451520000, while the sum is 72.

The spelling of 27455954381856 in words is "twenty-seven trillion, four hundred fifty-five billion, nine hundred fifty-four million, three hundred eighty-one thousand, eight hundred fifty-six".