27786404398896 has 1800 divisors, whose sum is σ = 103904118478160. Its totient is φ = 7101102919680.

The previous prime is 27786404398859. The next prime is 27786404398897. The reversal of 27786404398896 is 69889340468772.

27786404398896 is a `hidden beast` number, since 2 + 77 + 86 + 4 + 0 + 4 + 398 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (27786404398897) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 32574916806 + ... + 32574917658.

Almost surely, 2^{27786404398896} is an apocalyptic number.

27786404398896 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 27786404398896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51952059239080).

27786404398896 is an abundant number, since it is smaller than the sum of its proper divisors (76117714079264).

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

27786404398896 is a wasteful number, since it uses less digits than its factorization.

27786404398896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 7023034368, while the sum is 81.

The spelling of 27786404398896 in words is "twenty-seven trillion, seven hundred eighty-six billion, four hundred four million, three hundred ninety-eight thousand, eight hundred ninety-six".