27836555563872 has 144 divisors (see below), whose sum is σ = 87163659116352. Its totient is φ = 8356485000960.

The previous prime is 27836555563829. The next prime is 27836555563907.

27836555563872 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 6 + 5 + 55 + 563 + 8 + 7 + 2 = 666.

27836555563872 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 27836555563872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40720798 + ... + 41398749.

It is an arithmetic number, because the mean of its divisors is an integer number (605303188308).

Almost surely, 2^{27836555563872} is an apocalyptic number.

27836555563872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27836555563872 is an abundant number, since it is smaller than the sum of its proper divisors (59327103552480).

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

27836555563872 is a wasteful number, since it uses less digits than its factorization.

27836555563872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82119681 (or 82119670 counting only the distinct ones).

The product of its digits is 2540160000, while the sum is 72.

The spelling of 27836555563872 in words is "twenty-seven trillion, eight hundred thirty-six billion, five hundred fifty-five million, five hundred sixty-three thousand, eight hundred seventy-two".