27788016511440 has 100 divisors (see below), whose sum is σ = 96511898109924. Its totient is φ = 7410137734656.

The previous prime is 27788016511391. The next prime is 27788016511441. The reversal of 27788016511440 is 4411561088772.

It is a happy number.

27788016511440 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 80 + 1 + 6 + 511 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13119637386816 + 14668379124624 = 3622104^2 + 3829932^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27788016511441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2144130597 + ... + 2144143556.

Almost surely, 2^{27788016511440} is an apocalyptic number.

27788016511440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27788016511440 is an abundant number, since it is smaller than the sum of its proper divisors (68723881598484).

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

27788016511440 is a wasteful number, since it uses less digits than its factorization.

27788016511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288274178 (or 4288274163 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 27788016511440 in words is "twenty-seven trillion, seven hundred eighty-eight billion, sixteen million, five hundred eleven thousand, four hundred forty".