27054815755968 has 1792 divisors, whose sum is σ = 115032678727680. Its totient is φ = 6004216627200.

The previous prime is 27054815755951. The next prime is 27054815755993. The reversal of 27054815755968 is 86955751845072.

It is a happy number.

27054815755968 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 4 + 8 + 1 + 5 + 7 + 559 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27054815755896 and 27054815755905.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1233285096 + ... + 1233307032.

It is an arithmetic number, because the mean of its divisors is an integer number (64192343040).

Almost surely, 2^{27054815755968} is an apocalyptic number.

27054815755968 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 27054815755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57516339363840).

27054815755968 is an abundant number, since it is smaller than the sum of its proper divisors (87977862971712).

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

27054815755968 is a wasteful number, since it uses less digits than its factorization.

27054815755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22043 (or 22027 counting only the distinct ones).

The product of its (nonzero) digits is 846720000, while the sum is 72.

The spelling of 27054815755968 in words is "twenty-seven trillion, fifty-four billion, eight hundred fifteen million, seven hundred fifty-five thousand, nine hundred sixty-eight".