27055785867264 has 3840 divisors, whose sum is σ = 114527366553600. Its totient is φ = 6148738252800.

The previous prime is 27055785867239. The next prime is 27055785867269. The reversal of 27055785867264 is 46276858755072.

It is a happy number.

27055785867264 is a `hidden beast` number, since 2 + 7 + 0 + 557 + 8 + 5 + 8 + 6 + 7 + 2 + 64 = 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 = 27055785867192 and 27055785867201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27055785867269) 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 319 ways as a sum of consecutive naturals, for example, 206532716479 + ... + 206532716609.

It is an arithmetic number, because the mean of its divisors is an integer number (29824835040).

Almost surely, 2^{27055785867264} is an apocalyptic number.

27055785867264 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 27055785867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57263683276800).

27055785867264 is an abundant number, since it is smaller than the sum of its proper divisors (87471580686336).

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

27055785867264 is a wasteful number, since it uses less digits than its factorization.

27055785867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1580544000, while the sum is 72.

The spelling of 27055785867264 in words is "twenty-seven trillion, fifty-five billion, seven hundred eighty-five million, eight hundred sixty-seven thousand, two hundred sixty-four".